A binary operation on irreducible components of Lusztig’s nilpotent varieties I: definition and properties

Avraham Aizenbud; Erez Lapid

doi:10.4310/PAMQ.241203024730

A binary operation on irreducible components of Lusztig’s nilpotent varieties I: definition and properties

Avraham Aizenbud, Erez Lapid

Department of Mathematics

Weizmann Institute of Science

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

Abstract

We define a binary operation on the set of irreducible components of Lusztig’s nilpotent varieties of a quiver. We study commutativity, cancellativity and associativity of this operation. We focus on rigid irreducible components and discuss inductive ways to construct them.

Original language	English
Pages (from-to)	5-41
Number of pages	37
Journal	Pure and Applied Mathematics Quarterly
Volume	21
Issue number	1
Early online date	2 Dec 2024
DOIs	https://doi.org/10.4310/PAMQ.241203024730
State	Published - 2025

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/PAMQ.241203024730

https://arxiv.org/abs/2103.12027License: Other

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abstract = "We define a binary operation on the set of irreducible components of Lusztig{\textquoteright}s nilpotent varieties of a quiver. We study commutativity, cancellativity and associativity of this operation. We focus on rigid irreducible components and discuss inductive ways to construct them.",

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DO - 10.4310/PAMQ.241203024730

M3 - مقالة

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A binary operation on irreducible components of Lusztig’s nilpotent varieties I: definition and properties

Abstract

All Science Journal Classification (ASJC) codes

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