作者: Visual-Field 時(shí)間: 2025-3-21 20:18 作者: CRATE 時(shí)間: 2025-3-22 00:32
Projections and Projection Matrices, (quantum) equivariant cohomology, and deformed .-algebras. A brief history of elliptic quantum groups is also given. There are some different formulations developed independently and sometimes dependently. They are classified by their generators and co-algebra structures into the following three : 作者: Omniscient 時(shí)間: 2025-3-22 07:53 作者: 線 時(shí)間: 2025-3-22 09:54 作者: 移動(dòng) 時(shí)間: 2025-3-22 15:51 作者: 移動(dòng) 時(shí)間: 2025-3-22 19:50
Eugenius Kaszkurewicz,Amit Bhayaquantum group modules. In this chapter, we discuss the vertex operators of the .-modules. There are two types of them, type I and II, due to an asymmetry of the comultiplication with respect to the tensor components. By using the evaluation representation and the level-1 highest weight representatio作者: 頭盔 時(shí)間: 2025-3-23 00:26
Multi-field Coupling Numerical Simulation, Varchenko, Astérisque . (1997); Mimachi, Duke Math. J. ., 635–658 (1996); Matsuo, Comm. Math. Phys. ., 263–273 (1993)). Recently it has been shown (Gorbounov et al., J. Geom. Phys. ., 56–86 (2013); Rimányi et al., J. Geom. Phys. ., 81–119 (2015)) that they can be identified with the stable envelope作者: 生來(lái) 時(shí)間: 2025-3-23 05:07 作者: 主動(dòng) 時(shí)間: 2025-3-23 06:50
Marc Arnaudon,Frédéric Barbaresco,Le Yang elliptic .-KZ equation. A key to this is a cyclic property of trace and the exchange relation of the vertex operators. Evaluating the trace explicitly we also give an elliptic hypergeometric integral solution to the equation (Konno, J. Integrable Syst. ., 1–43 (2017)).作者: ADORN 時(shí)間: 2025-3-23 13:38 作者: overhaul 時(shí)間: 2025-3-23 16:14 作者: 手段 時(shí)間: 2025-3-23 19:07 作者: 銼屑 時(shí)間: 2025-3-23 22:23 作者: 晚來(lái)的提名 時(shí)間: 2025-3-24 03:00 作者: 政府 時(shí)間: 2025-3-24 08:03 作者: hypnotic 時(shí)間: 2025-3-24 14:03
2197-1757 ng.Contains finite and infinite dimensional representations This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the Yang-Baxter equation. Based on research by the author and his collaborators, the book presents a comprehensive survey on the sub作者: 橫截,橫斷 時(shí)間: 2025-3-24 18:45
Projections and Projection Matrices,tions developed independently and sometimes dependently. They are classified by their generators and co-algebra structures into the following three : the Quasi-Hopf-algebra formulation . (the vertex type), . (the face type), the FRST formulation . (the face type) and the Drinfeld realization . (the face type).作者: PATHY 時(shí)間: 2025-3-24 21:50
Subscapular System Flaps: An Introductions matrix from the standard basis to the Gelfand-Tsetlin basis is given by a specialization of the elliptic weight functions. The resultant action is expressed in a perfectly combinatorial way in terms of the partitions of [1, .]. In Chap. . we discuss a geometric interpretation of it.作者: 指派 時(shí)間: 2025-3-25 00:43
Matrices in Classical Statistical Mechanics,tion. In addition, following the quasi-Hopf formulation ., we introduce the ..-operator and show that the difference between the +? and the ? half currents gives the elliptic currents of .. Furthermore a connection to Felder’s formulation is shown by introducing the dynamical .-operators.作者: 有花 時(shí)間: 2025-3-25 04:19
Elliptic Quantum Group ,,tion. In addition, following the quasi-Hopf formulation ., we introduce the ..-operator and show that the difference between the +? and the ? half currents gives the elliptic currents of .. Furthermore a connection to Felder’s formulation is shown by introducing the dynamical .-operators.作者: 懸掛 時(shí)間: 2025-3-25 08:36
The ,-Hopf-Algebroid Structure of ,,t certain shifts by . and . in . when they move from one tensor component to the other. These shifts produce the same effects as the dynamical shift in the DYBE and the dynamical .-relation. Hence the .-Hopf-algebroid structure provides a convenient co-algebra structure compatible with the dynamical shift. See Chaps. .–..作者: Mortar 時(shí)間: 2025-3-25 14:26
Representations of ,,al., Comm. Math. Phys. ., 605–647 (1999); Kojima and Konno, Comm. Math. Phys. ., 405–447 (2003); Konno, SIGMA, ., Paper 091, 25 pages (2006); Farghly et al., Algebr. Represent. Theory ., 103–135 (2014)).作者: neurologist 時(shí)間: 2025-3-25 16:08 作者: 寬敞 時(shí)間: 2025-3-25 21:00
Related Geometry,n be identified with .. Based on this identification, we also show a correspondence between the Gelfand-Tsetlin basis (resp. the standard basis) of . in Chap. . and the fixed point classes (resp. the stable classes) in E.(.). This correspondence allows us to construct an action of . on E.(.).作者: Working-Memory 時(shí)間: 2025-3-26 02:23 作者: 關(guān)心 時(shí)間: 2025-3-26 04:18 作者: groggy 時(shí)間: 2025-3-26 12:12
Tensor Product Representation,s matrix from the standard basis to the Gelfand-Tsetlin basis is given by a specialization of the elliptic weight functions. The resultant action is expressed in a perfectly combinatorial way in terms of the partitions of [1, .]. In Chap. . we discuss a geometric interpretation of it.作者: 極大的痛苦 時(shí)間: 2025-3-26 15:18 作者: cajole 時(shí)間: 2025-3-26 18:07
William Weaver Jr.,James M. Gereal., Comm. Math. Phys. ., 605–647 (1999); Kojima and Konno, Comm. Math. Phys. ., 405–447 (2003); Konno, SIGMA, ., Paper 091, 25 pages (2006); Farghly et al., Algebr. Represent. Theory ., 103–135 (2014)).作者: 刺耳的聲音 時(shí)間: 2025-3-26 22:11
Eugenius Kaszkurewicz,Amit Bhayan constructed in the last chapter, we solve the intertwining relations and obtain a realization of the vertex operators explicitly. Exchange relations among the vertex operators are also given. Thus obtained vertex operators become a key to the rest of this book.作者: BIBLE 時(shí)間: 2025-3-27 02:21
An Introduction to Vector Spaces,n be identified with .. Based on this identification, we also show a correspondence between the Gelfand-Tsetlin basis (resp. the standard basis) of . in Chap. . and the fixed point classes (resp. the stable classes) in E.(.). This correspondence allows us to construct an action of . on E.(.).作者: COLIC 時(shí)間: 2025-3-27 08:15
Introduction, (quantum) equivariant cohomology, and deformed .-algebras. A brief history of elliptic quantum groups is also given. There are some different formulations developed independently and sometimes dependently. They are classified by their generators and co-algebra structures into the following three : 作者: bourgeois 時(shí)間: 2025-3-27 13:16
Elliptic Quantum Group ,, of the loop generators of the affine Lie algebra .. We call their generating functions the elliptic currents. The dynamical nature of . is realized by introducing the dynamical parameter . and considering a copy . of the Cartan subalgebra .. We take the field . of meromorphic functions on .. as the作者: 生意行為 時(shí)間: 2025-3-27 16:28
The ,-Hopf-Algebroid Structure of ,,E. Koelink, H. Rosengren, Acta. Appl. Math. ., 163–220 (2001); Konno, J. Geom. Phys. ., 1485–1511 (2009); Y. van Norden, Dynamical Quantum Groups, Duality and Special Functions, Ph.D. Thesis, 2005). A key idea is introducing an extended tensor product ., on which the dynamical coefficients from . ge作者: Fatten 時(shí)間: 2025-3-27 20:36
Representations of ,,infinite dimensional representations of .. As examples, we present the evaluation representation associated with the vector representation (Sect. 4.2) and the level-1 highest weight representations (Sect. 4.3). Most of them can be extended to . for arbitrary untwisted affine Lie algebra . (Jimbo et 作者: AUGER 時(shí)間: 2025-3-28 01:58 作者: 變異 時(shí)間: 2025-3-28 05:57 作者: obtuse 時(shí)間: 2025-3-28 10:03 作者: 為寵愛(ài) 時(shí)間: 2025-3-28 10:28 作者: CRP743 時(shí)間: 2025-3-28 16:57 作者: conquer 時(shí)間: 2025-3-28 20:52 作者: Abbreviate 時(shí)間: 2025-3-29 00:44
2197-1757 n equivariant elliptic cohomology and play an important role to construct geometric representations of elliptic quantum groups. Okounkov’s? geometric approach to quantum integrable systems is a rapidly growing 978-981-15-7386-6978-981-15-7387-3Series ISSN 2197-1757 Series E-ISSN 2197-1765 作者: 痛打 時(shí)間: 2025-3-29 03:42 作者: 碎片 時(shí)間: 2025-3-29 11:04
Multi-field Coupling Numerical Simulation,ons have not been written in literatures. In this chapter we present a simple derivation of them in the elliptic case. Our method is based on realizations of the vertex operators as those obtained in the last chapter and can be applied to any quantum group cases once one obtains an appropriate reali
