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Description: |
In representation theory of the Lie algebras, each irreducible representation decomposes into weight spaces. The dimensions of these subspaces can be computed via the Weyl character formula and admit interesting quantizations. The polynomials so obtained have a simple definition and numerous interactions with algebra and combinatorics. It can be in particular proved that they admit nonnegative integer coefficients. Unfortunately, no elementary proof of this positivity property is known. The goal of this talk will be to present a state of the art on these notions and suggest some related open questions.
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Date: |
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| Start Time: |
15:00 |
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Speaker: |
Cédric Lecouvey (Univ. Tours, France)
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Institution: |
Université de Tours
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Place: |
Room PN (DMUC)
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| Research Groups: |
-Algebra and Combinatorics
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See more:
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<Main>
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