Quantum Commutativity and Central Invariants

M. Cohen

doi:10.1201/9781003419792-2

Quantum Commutativity and Central Invariants

M. Cohen

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

Abstract

Let us start by considering the following: Graded commutative superalgebras. That is, A = A 0 ⊕A1, a Z 2-graded algebra over a field k (of characteristic ≠ 2) where ab = (-1)^|a||b| ba, for all homogeneous elements a, b. The Quantum plane Cq [X, Y], That is C [X, y] where xy = q ^-1 yx. The Quantum superplane (or q-Grassman algebra) Cq [ξ, η]. That is C[ξ, η] with, ξ² = η² = 0, ξη = -qηξ.

Original language	English
Title of host publication	Advances in Hopf Algebras
Publisher	CRC Press
Pages	25-38
Number of pages	14
ISBN (Electronic)	9781000944945
ISBN (Print)	9781138401808
DOIs	https://doi.org/10.1201/9781003419792-2
State	Published - 1 Jan 2023

ASJC Scopus subject areas

General Mathematics

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ER -

Quantum Commutativity and Central Invariants

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