Kazhdan-Lusztig
polynomails
for
Lie superalgebras
Professor R.B. Zhang
Abstract
An
isomorphism is established between Grothendieck
groups of the type A Lie algebra and Lie superalgebra
in the inductive limit. The proof is derived from the respective Kazhdan-Lusztig theories for the algebras reformulated in
terms of canonical bases of a quantum group. A consequence of this isomorphism
is that the usual parabolic Kazhdan-Lusztig
polynomials of type A compute the characters of the finite dimensional
irreducible representations of the general linear superalgebra.
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Room 517, Meng Wah Complex, HKU |
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All are welcome |
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