ON ABELIAN UNITARY INVOLUTIONS OF CROSSED PRODUCTS

被引：0
|
作者：
Yanchevskii, Vyacheslav I. [1 ]
机构：
[1] Natl Acad Sci Belarus, Inst Math, 11 Surganov Str, Minsk 220012, BELARUS
来源：
DOKLADY NATSIONALNOI AKADEMII NAUK BELARUSI | 2024年 / 68卷 / 01期
关键词：
crossed products; unitary involutions; abelian involutions; congruence theorem;
D O I：
10.29235/1561-8323-2024-68-1-15-17
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In the theory of classical linear algebraic groups, of importance are special unitary groups of non -commuted involution crossed products with division. The description of these groups largely depends on the involution type of these products. The class of Abelian involution crossed products is considered and the criterion for their existence is set provided that unitary bases (with respect to these involutions) are present in these products.
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页码：15 / 17
页数：3
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