Automorphisms of sl(2) and dynamical r-matrices

被引：7

作者：

Tsiganov, AV ^{[1
]}

机构：

[1] St Petersburg State Univ, Inst Phys, Dept Math & Computat Phys, St Petersburg 198904, Russia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 01期

关键词：

D O I：

10.1063/1.532326

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two outer automorphisms of the space of infinite-dimensional representations of sl(2) algebra are considered. The similar constructions for the loop algebras and Yangians are presented. The corresponding linear and quadratic R-brackets include the dynamical r-matrices. (C) 1998 American Institute of Physics.

引用

页码：650 / 664

页数：15

共 50 条

[1] Automorphisms of sl(2) and dynamical r-matrices
Journal of Mathematical Physics, 39 (01):
[2] Dynamical r-matrices associated to (sl(2))over-tilde and separation of variables
Tsiganov, AV
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (01): : 283 - 288
[3] An ansatz for sl2-invariant R-matrices
Bytsko A.G.
Journal of Mathematical Sciences, 2007, 143 (1) : 2754 - 2764
[4] ON AUTOMORPHISMS AND UNIVERSAL R-MATRICES AT ROOTS OF UNITY
ARNAUDON, D
LETTERS IN MATHEMATICAL PHYSICS, 1995, 33 (01) : 39 - 47
[5] On constant Uq(sl2)-invariant R-matrices
Bytsko A.G.
Journal of Mathematical Sciences, 2010, 168 (6) : 805 - 810
[6] Dynamical R-matrices for Calogero models
Forger, M
Winterhalder, A
NUCLEAR PHYSICS B, 2002, 621 (03) : 523 - 570
[7] DYNAMICAL R-MATRICES FOR INTEGRABLE MAPS
RAGNISCO, O
PHYSICS LETTERS A, 1995, 198 (04) : 295 - 305
[8] Triangular dynamical r-matrices and quantization
Xu, P
ADVANCES IN MATHEMATICS, 2002, 166 (01) : 1 - 49
[9] Dirac structures and dynamical r-matrices
Liu, ZJ
Xu, P
ANNALES DE L INSTITUT FOURIER, 2001, 51 (03) : 835 - +
[10] Characteristic classes of SL(N, C)-bundles and quantum dynamical elliptic R-matrices
Levin, A.
Olshanetsky, M.
Smirnov, A.
Zotov, A.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (03)

← 1 2 3 4 5 →