標(biāo)題: Titlebook: Collected Papers; Volume I 1955-1966 Bertram Kostant,Anthony Joseph,Shrawan Kumar,Michè Book 2009 The Editor(s) (if applicable) and The Aut [打印本頁] 作者: Johnson 時間: 2025-3-21 17:26
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作者: 正常 時間: 2025-3-21 22:46
On INV Ariant Skew-Tensors, .. be the space of contravariant skew-tensors over . of degree .. The inner product in . induces a positive-definite inner product in ? .., where (.. ? … ? .., .. ? … ? ..) = (1/.!) · determinant (.., ..).作者: Vulvodynia 時間: 2025-3-22 04:05 作者: Infraction 時間: 2025-3-22 06:05 作者: theta-waves 時間: 2025-3-22 09:01
A Formula for the Multiplicity of a Weight,inite dimensional vector space ... A well known theorem of E. Cartan asserts that the highest weight, ?, of ?. occurs with multiplicity one. It has been a question of long standing to determine, more generally, the multiplicity of an arbitrary weight of ?.. Weyl’s formula (1.12) for the character of作者: IDEAS 時間: 2025-3-22 16:29
A Characterization of Invariant Affine Connections,ansitive group of motions. Here we shall give a simple proof of a more general theorem—Theorem 1 (the proof of Theorem 1 became suggestive to us after we noted that the .. of [1] is just the .. of [6] when . is restricted to .., see [6], p. 539). In fact after introducing, below, the notion of one a作者: IDEAS 時間: 2025-3-22 18:26
Differential Forms on Regular Affine Algebras,en satisfactorily absorbed in the general theory of derived functors. It is our main purpose here to identify the exterior algebra of differential forms as a certain canonical graded algebra based on the Tor functor and to obtain the cohomology of differential forms from the Ext functor of a univers作者: moribund 時間: 2025-3-22 23:55 作者: 鬼魂 時間: 2025-3-23 02:25
Eigenvalues of a Laplacian and Commutative Lie Subalgebras,ued left invariant differential forms may be naturally identified with the exterior algebra ?.. Also, one knows then that ?. is stable under the Laplacian defined with respect to the canonical Riemannian metric on ..作者: 幼兒 時間: 2025-3-23 07:42
Claudia Recksiedler,Laura BernardiAmong the questions which have been raised concerning the structure of a connected semisimple Lie group are those relating to conjugacy of its Cartan subgroups.作者: 率直 時間: 2025-3-23 09:57
Laura Bernardi,Dimitri MortelmansWe retain the notation of our previous article. Numbered theorems quoted here are also to be found in that article.作者: BOOM 時間: 2025-3-23 16:17
Claudia Recksiedler,Laura BernardiLet . be a Riemannian manifold with the corresponding affine connection, . an infinitesimal motion on ., and .. the tangent space at a point .. Let .. (the holonomy algebra) be the Lie algebra of the restricted holonomy group at . ? ..作者: 心神不寧 時間: 2025-3-23 18:16 作者: CRANK 時間: 2025-3-24 00:28 作者: 佛刊 時間: 2025-3-24 03:56
https://doi.org/10.1007/978-3-8349-9266-6Let . be a complex simple Lie algebra and let . be the adjoint group of g. It is by now classical that the Poincaré polynomial ..(.) of . factors into the form作者: LATE 時間: 2025-3-24 07:20 作者: 預(yù)定 時間: 2025-3-24 14:05
https://doi.org/10.1007/978-3-8349-9266-6Let . be a group of linear transformations on a finite dimensional real or complex vector space .. Assume . is completely reducible as a .-module. Let . be the ring of all complex-valued polynomials on ., regarded as a .-module in the obvious way, and let . ? . be the subring of all .-invariant polynomials on ..作者: 解凍 時間: 2025-3-24 15:33 作者: Fulsome 時間: 2025-3-24 21:16 作者: babble 時間: 2025-3-25 03:14
On the Conjugacy of Real Cartan Subalgebras,Among the questions which have been raised concerning the structure of a connected semisimple Lie group are those relating to conjugacy of its Cartan subgroups.作者: precede 時間: 2025-3-25 07:23 作者: 欺騙手段 時間: 2025-3-25 11:08 作者: Amylase 時間: 2025-3-25 12:25
On Differential Geometry and Homogeneous Spaces II,We retain the notation of the preceding paper.. We will say that . is effective relative to . if . contains no ideal of ..作者: 放肆的我 時間: 2025-3-25 19:29
A Characterization of the Classical Groups,By one method of classification there are three types of (complex, connected) classical groups, (a) .(.), (b) .(.), and (c) .(.). So designated, each type is given as a specific group of matrices. It is perhaps neater (and for us more pertinent) to describe these groups by means of the special linear representation which each type admits.作者: 嚴(yán)厲譴責(zé) 時間: 2025-3-25 21:52
The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group,Let . be a complex simple Lie algebra and let . be the adjoint group of g. It is by now classical that the Poincaré polynomial ..(.) of . factors into the form作者: 受辱 時間: 2025-3-26 02:42 作者: 討好美人 時間: 2025-3-26 06:19
Lie Group Representations On Polynomial Rings,Let . be a group of linear transformations on a finite dimensional real or complex vector space .. Assume . is completely reducible as a .-module. Let . be the ring of all complex-valued polynomials on ., regarded as a .-module in the obvious way, and let . ? . be the subring of all .-invariant polynomials on ..作者: 可忽略 時間: 2025-3-26 12:09
Lie Group Representations on Polynomial Rings,Let . be a group of linear transformations on a finite dimensional real or complex vector space .. Assume . is completely reducible as a .-module. Let . be the ring of all complex-valued polynomials on ., regarded as a .-module in the obvious way, and let . ? . be the sub-ring of all .-invariant polynomials on ..作者: Antarctic 時間: 2025-3-26 15:21
Lie Algebra Cohomology and Generalized Schubert Cells,This paper is referred to as Part II. Part I is [4], The numerical I used as a reference will refer to that paper. A third and final part, . is also planned.作者: Needlework 時間: 2025-3-26 19:16 作者: Cardiac-Output 時間: 2025-3-26 22:36
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Science+Busines作者: 異教徒 時間: 2025-3-27 04:41
Claudia Recksiedler,Laura Bernardinishes at a point . ? . then . induces, in a natural way, an endomorphism .. of the tangent space .. at .. In fact if . ? .. and . is any vector field whose value at . is ., then define ... = [., .].. It is not hard to see that [., .]. does not depend on . so long as the value of . at . is ..作者: alabaster 時間: 2025-3-27 05:38 作者: 努力趕上 時間: 2025-3-27 09:56 作者: HALO 時間: 2025-3-27 17:09
Offshoring in the Wrong Direction?,ensors over ., then it is a well known theorem that the group . and the symmetric group . = .. both admit natural representations on .. and that the algebras generated by the two image groups are each other’s commutators.作者: 600 時間: 2025-3-27 19:28
https://doi.org/10.1007/978-3-8349-9266-6inite dimensional vector space ... A well known theorem of E. Cartan asserts that the highest weight, ?, of ?. occurs with multiplicity one. It has been a question of long standing to determine, more generally, the multiplicity of an arbitrary weight of ?.. Weyl’s formula (1.12) for the character of作者: Atmosphere 時間: 2025-3-28 01:48 作者: progestogen 時間: 2025-3-28 04:40
https://doi.org/10.1007/978-3-8349-9266-6en satisfactorily absorbed in the general theory of derived functors. It is our main purpose here to identify the exterior algebra of differential forms as a certain canonical graded algebra based on the Tor functor and to obtain the cohomology of differential forms from the Ext functor of a univers作者: 不能根除 時間: 2025-3-28 07:31 作者: 討厭 時間: 2025-3-28 12:25
John Nagle,Mary-Alice C. Clancyued left invariant differential forms may be naturally identified with the exterior algebra ?.. Also, one knows then that ?. is stable under the Laplacian defined with respect to the canonical Riemannian metric on ..作者: 退潮 時間: 2025-3-28 15:10
Holonomy and the Lie Algebra of Infinitesimal Motions of A Riemannian Manifold,nishes at a point . ? . then . induces, in a natural way, an endomorphism .. of the tangent space .. at .. In fact if . ? .. and . is any vector field whose value at . is ., then define ... = [., .].. It is not hard to see that [., .]. does not depend on . so long as the value of . at . is ..作者: 寬宏大量 時間: 2025-3-28 20:39 作者: forager 時間: 2025-3-28 23:46
On Holonomy and Homogeneous Spaces,ral than the others. We refer to the connections which K. Nomizu in [4] calls canonical affine connections of the first kind. When . is a compact connected Lie group and . a closed subgroup we called an invariant Riemannian metric on ., natural (in [2]) when it induced such a connection.作者: 冷漠 時間: 2025-3-29 04:11 作者: 燦爛 時間: 2025-3-29 09:04
Eigenvalues of a Laplacian and Commutative Lie Subalgebras,ued left invariant differential forms may be naturally identified with the exterior algebra ?.. Also, one knows then that ?. is stable under the Laplacian defined with respect to the canonical Riemannian metric on ..作者: Paradox 時間: 2025-3-29 12:45 作者: GRATE 時間: 2025-3-29 16:44 作者: Simulate 時間: 2025-3-29 22:52 作者: 事與愿違 時間: 2025-3-30 00:13 作者: shrill 時間: 2025-3-30 06:12 作者: Congestion 時間: 2025-3-30 10:25
Bertram Kostant,Anthony Joseph,Shrawan Kumar,MichèKostant is one of the leading architects of modern Lie theory.Kostant’s work spans over 50 years, with his fundamental and varied contributions to many aspects of Lie theory, a subject pervading almos作者: 膠水 時間: 2025-3-30 12:22 作者: 揮舞 時間: 2025-3-30 17:36 作者: Reservation 時間: 2025-3-30 22:13 作者: cutlery 時間: 2025-3-31 02:54
https://doi.org/10.1007/978-3-8349-9266-6ms as a certain canonical graded algebra based on the Tor functor and to obtain the cohomology of differential forms from the Ext functor of a universal algebra of differential operators similar to the universal enveloping algebra of a Lie algebra.作者: 立即 時間: 2025-3-31 06:28
A Formula for the Multiplicity of a Weight,en a question of long standing to determine, more generally, the multiplicity of an arbitrary weight of ?.. Weyl’s formula (1.12) for the character of ?. is an expression for the function ?.(?) = tr exp ?.(?), ??., on . in terms of ? and quantities independent of the representation.作者: 盡忠 時間: 2025-3-31 11:18
Differential Forms on Regular Affine Algebras,ms as a certain canonical graded algebra based on the Tor functor and to obtain the cohomology of differential forms from the Ext functor of a universal algebra of differential operators similar to the universal enveloping algebra of a Lie algebra.作者: 領(lǐng)帶 時間: 2025-3-31 15:21
Book 2009ep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. Some specific topics cover algebraic groups and invariant theory, the geometry of作者: 任意 時間: 2025-3-31 17:30 作者: 野蠻 時間: 2025-4-1 01:35
https://doi.org/10.1007/978-3-8349-9266-6ffine connection . on a manifold being rigid with respect to another affine connection . on . and making some observations concerning such a relationship, Theorem 1 is seen to be a reformulation of Theorem 2.作者: frenzy 時間: 2025-4-1 05:28
https://doi.org/10.1007/978-3-8349-9266-6 if . is the algebra of the rational representative functions on an irreducible algebraic linear group . over a field . of characteristic 0, the cohomology of the differential forms of . is trivial (if and) only if . is an ordinary polynomial algebra over ..作者: 痛苦一生 時間: 2025-4-1 09:49 作者: CANON 時間: 2025-4-1 13:05 作者: 不要嚴(yán)酷 時間: 2025-4-1 15:37
