Semigroups of sl3(C) tensor product invariants

Christopher Manon; Zhengyuan Zhou

doi:10.1016/j.jalgebra.2013.11.006

Semigroups of sl3(C) tensor product invariants

Christopher Manon
, Zhengyuan Zhou

Mathematics

Producción científica: Article › revisión exhaustiva

5 Citas (Scopus)

Resumen

We find presentations for a family of semigroup algebras related to the problem of decomposing sl3(C) tensor products. Along the way we find new toric degenerations of the Grassmannian variety Gr3(Cn) which are T-invariant for T⊂GLn(C) the diagonal torus.

Idioma original	English
Páginas (desde-hasta)	94-104
Número de páginas	11
Publicación	Journal of Algebra
Volumen	400
DOI	https://doi.org/10.1016/j.jalgebra.2013.11.006
Estado	Published - feb 15 2014

Financiación

Financiadores	Número del financiador
National Science Foundation (NSF)
Directorate for Mathematical and Physical Sciences	0902710

ASJC Scopus subject areas

Algebra and Number Theory

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title = "Semigroups of sl3(C) tensor product invariants",

abstract = "We find presentations for a family of semigroup algebras related to the problem of decomposing sl3(C) tensor products. Along the way we find new toric degenerations of the Grassmannian variety Gr3(Cn) which are T-invariant for T⊂GLn(C) the diagonal torus.",

keywords = "Affine semigroups, Combinatorial representation theory, Tensor product invariants",

author = "Christopher Manon and Zhengyuan Zhou",

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T1 - Semigroups of sl3(C) tensor product invariants

AU - Manon, Christopher

AU - Zhou, Zhengyuan

PY - 2014/2/15

Y1 - 2014/2/15

N2 - We find presentations for a family of semigroup algebras related to the problem of decomposing sl3(C) tensor products. Along the way we find new toric degenerations of the Grassmannian variety Gr3(Cn) which are T-invariant for T⊂GLn(C) the diagonal torus.

AB - We find presentations for a family of semigroup algebras related to the problem of decomposing sl3(C) tensor products. Along the way we find new toric degenerations of the Grassmannian variety Gr3(Cn) which are T-invariant for T⊂GLn(C) the diagonal torus.

KW - Affine semigroups

KW - Combinatorial representation theory

KW - Tensor product invariants

UR - https://www.scopus.com/pages/publications/84890664801

UR - https://www.scopus.com/pages/publications/84890664801#tab=citedBy

U2 - 10.1016/j.jalgebra.2013.11.006

DO - 10.1016/j.jalgebra.2013.11.006

M3 - Article

AN - SCOPUS:84890664801

SN - 0021-8693

VL - 400

SP - 94

EP - 104

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Semigroups of sl3(C) tensor product invariants

Resumen

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ASJC Scopus subject areas

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