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

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	94-104
Number of pages	11
Journal	Journal of Algebra
Volume	400
DOIs	https://doi.org/10.1016/j.jalgebra.2013.11.006
State	Published - Feb 15 2014

Funding

Funders	Funder number
National Science Foundation (NSF)
Directorate for Mathematical and Physical Sciences	0902710

Keywords

Affine semigroups
Combinatorial representation theory
Tensor product invariants

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2013.11.006

Cite this

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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/inward/citedby.url?scp=84890664801&partnerID=8YFLogxK

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

Abstract

Funding

Keywords

ASJC Scopus subject areas

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