Star Product for Para-Grassmann Algebra of Order Two

Markov Yuri; Markova Margarita

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Star Product for Para-Grassmann Algebra of Order Two

机译：STAR产品用于两位订单的GRAD-GRANDMANN代数

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摘要

In para-Grassmann algebra a noncommutative, associative star product * (the Moyal product), which is a direct generalization of the star product in the algebra of Grassmann numbers is introduced. Isomorphism between the algebra of para-Grassmann numbers of order two equipped with the star product and the algebra of creation and annihilation operators a(k)(+/-) obeying the para-Fermi statistics of the same order is established.

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来源
《Advances in applied Clifford algebras》 |2021年第2期|共18页
作者
Markov Yuri; Markova Margarita;
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作者单位

RAS SB Matrosov Inst Syst Dynam &

Control Theory Lermontov Str 134 POB 1233 Irkutsk 664033 Russia;

RAS SB Matrosov Inst Syst Dynam &

Control Theory Lermontov Str 134 POB 1233 Irkutsk 664033 Russia;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Para-Fermi statistics; Para-Grassmann algebra; Star product;

机译：Para-Fermi统计;Para-Grassmann代数;星级产品;

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2. TWISTED PRODUCTS AND SMASH PRODUCTS OVER WEAK HOPF ALGEBRAS [J] . 张良云, 陈惠香, 李金其数学物理学报（英文版） . 2004,第002期
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4. Braid Group Representations from Twisted Tensor Products of Algebras [J] . Paul Gustafson, Andrew Kimball, Eric C.Rowell, 北京数学杂志（英文） . 2020,第002期
5. Para-Grassmann star product calculation [J] . Chadzitaskos G., Odzijewicz A. Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics . 1998,第3期

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Star Product for Para-Grassmann Algebra of Order Two

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