Universal Equivalence of Symplectic Groups

E. I. Bunina; A. M. Lazarev

doi:10.1007/s10958-023-06292-6

Universal Equivalence of Symplectic Groups

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

Abstract

In this paper, we prove a criterion of universal equivalence of symplectic linear groups over fields: two symplectic linear groups Sp_2n(K) and Sp_2m(M), where n,m ≥ 1 and K and M are infinite fields of characteristic not equal to 2, are universally equivalent if and only if n = m and the fields K and M are universally equivalent.

Original language	English
Pages (from-to)	453-468
Number of pages	16
Journal	Journal of Mathematical Sciences
Volume	269
Issue number	4
DOIs	https://doi.org/10.1007/s10958-023-06292-6
State	Published - Jan 2023
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/s10958-023-06292-6

https://link.springer.com/content/pdf/10.1007/s10958-023-06292-6.pdf

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title = "Universal Equivalence of Symplectic Groups",

abstract = "In this paper, we prove a criterion of universal equivalence of symplectic linear groups over fields: two symplectic linear groups Sp2n(K) and Sp2m(M), where n,m ≥ 1 and K and M are infinite fields of characteristic not equal to 2, are universally equivalent if and only if n = m and the fields K and M are universally equivalent.",

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AU - Lazarev, A. M.

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AB - In this paper, we prove a criterion of universal equivalence of symplectic linear groups over fields: two symplectic linear groups Sp2n(K) and Sp2m(M), where n,m ≥ 1 and K and M are infinite fields of characteristic not equal to 2, are universally equivalent if and only if n = m and the fields K and M are universally equivalent.

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DO - 10.1007/s10958-023-06292-6

M3 - مقالة

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VL - 269

SP - 453

EP - 468

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 4

ER -

Universal Equivalence of Symplectic Groups

Abstract

All Science Journal Classification (ASJC) codes

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