Representations of Shifted Yangians and Finite $w$-algebras

Representations of Shifted Yangians and Finite $w$-algebras

Buch | Softcover
107 Seiten
2008
American Mathematical Society (Verlag)
978-0-8218-4216-4 (ISBN)
79,95 inkl. MwSt
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Studies highest weight representations of shifted Yangians over an algebraically closed field of characteristic $0$. This book classifies the finite dimensional irreducible representations and explains how to compute their Gelfand-Tsetlin characters in terms of known characters of standard modules and certain Kazhdan-Lusztig polynomials.
The authors study highest weight representations of shifted Yangians over an algebraically closed field of characteristic $0$. In particular, they classify the finite dimensional irreducible representations and explain how to compute their Gelfand-Tsetlin characters in terms of known characters of standard modules and certain Kazhdan-Lusztig polynomials. The authors' approach exploits the relationship between shifted Yangians and the finite W-algebras associated to nilpotent orbits in general linear Lie algebras.

Introduction Shifted Yangians Finite W-algebras Dual canonical bases Highest weight theory Verma modules Standard modules Character formulae Notation Bibliography.

Erscheint lt. Verlag 30.12.2008
Reihe/Serie Memoirs of the American Mathematical Society
Verlagsort Providence
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-8218-4216-1 / 0821842161
ISBN-13 978-0-8218-4216-4 / 9780821842164
Zustand Neuware
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