Twisted Yangians and Finite W-Algebras

被引：17

作者：

Brown, Jonathan ^{[1
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

TRANSFORMATION GROUPS | 2009年 / 14卷 / 01期

关键词：

ENVELOPING-ALGEBRAS; SLODOWY SLICES;

D O I：

10.1007/s00031-008-9041-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an explicit set of generators for the finite W-algebras associated to nilpotent matrices in the symplectic or orthogonal Lie algebras whose Jordan blocks are all of the same size. We use these generators to show that such finite W-algebras are quotients of twisted Yangians.

引用

页码：87 / 114

页数：28

共 18 条

[1]

[Anonymous], 2009, LINEAR ALGEBRAIC GRO

[2] Shifted Yangians and finite W-algebras [J].

Brundan, J ;

Kleshchev, A .

ADVANCES IN MATHEMATICS, 2006, 200 (01) :136-195

[3] Parabolic presentations of the Yangian Y (gln) [J].

Brundan, J ;

Kleshchev, A .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 254 (01) :191-220

[4]

BRUNDAN J, MEM AM MATH IN PRESS

[5]

BRUNDAN J, 2008, INT MATH RES NOT

[6] Good grading polytopes [J].

Brundan, Jonathan ;

Goodwin, Simon M. .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2007, 94 :155-180

[7] Finite vs affine W-algebras [J].

De Sole, Alberto ;

Kac, Victor G. .

JAPANESE JOURNAL OF MATHEMATICS, 2006, 1 (01) :137-261

[8]

Gan WL, 2002, INT MATH RES NOTICES, V2002, P243

[9]

Jantzen JC, 2004, PROG MATH, V228, P1

[10]

LOSEV I, MATHRT07073108

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