The structure of symplectic groups over semi-local rings

1985 ◽  
Vol 1 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Tang Xiangpu ◽  
An Jianbei
Keyword(s):  
Symplectic Groups ◽  
Local Rings

Symplectic Groups Over Local Rings

1963 ◽  
Vol 85 (2) ◽  
pp. 232 ◽  
Author(s):  
Wilhelm Klingenberg
Keyword(s):  
Symplectic Groups ◽  
Local Rings

SYMPLECTIC GROUPS OVER LOCAL RINGS

1991 ◽  
pp. 251-259
Author(s):  
WILHELM KLINGENBERG
Keyword(s):  
Symplectic Groups ◽  
Local Rings

Subnormal structure of symplectic groups over local rings

1985 ◽  
Vol 37 (2) ◽  
pp. 164-169
Author(s):  
S. Tazhetdinov
Keyword(s):  
Symplectic Groups ◽  
Local Rings ◽  
Subnormal Structure

scholarly journals Generation of symplectic groups by transvections over local rings with at least 3 residue classes

1988 ◽  
Vol 112 (1) ◽  
pp. 151-158 ◽  
Author(s):  
Hiroyuki Ishibashi
Keyword(s):  
Symplectic Groups ◽  
Local Rings ◽  
Residue Classes

The structure of subnormal subgroups of symplectic groups over local rings

2006 ◽  
Vol 47 (3) ◽  
pp. 551-554 ◽  
Author(s):  
S. Tazhetdinov
Keyword(s):  
Symplectic Groups ◽  
Local Rings ◽  
Subnormal Subgroups

scholarly journals R-GROUP AND WHITTAKER SPACE OF SOME GENUINE REPRESENTATIONS

2021 ◽  
pp. 1-61
Author(s):  
Fan Gao
Keyword(s):  
Series Representation ◽  
Principal Series ◽  
Symplectic Groups ◽  
Principal Series Representation ◽  
Connected Group ◽  
Covering Group ◽  
Simply Connected

Abstract For a unitary unramified genuine principal series representation of a covering group, we study the associated R-group. We prove a formula relating the R-group to the dimension of the Whittaker space for the irreducible constituents of such a principal series representation. Moreover, for certain saturated covers of a semisimple simply connected group, we also propose a simpler conjectural formula for such dimensions. This latter conjectural formula is verified in several cases, including covers of the symplectic groups.

scholarly journals Correction to: Classification of non-local rings with genus two zero-divisor graphs

2021 ◽  
Vol 25 (4) ◽  
pp. 3355-3356
Author(s):  
T. Asir ◽  
K. Mano ◽  
T. Tamizh Chelvam
Keyword(s):  
Zero Divisor ◽  
Local Rings ◽  
Non Local ◽  
Genus Two

-ADIC -FUNCTIONS FOR ORDINARY FAMILIES ON SYMPLECTIC GROUPS

2019 ◽  
Vol 19 (4) ◽  
pp. 1287-1347 ◽  
Author(s):  
Zheng Liu
Keyword(s):  
Eisenstein Series ◽  
Symplectic Group ◽  
Symplectic Groups ◽  
Simple Strategy ◽  
Doubling Method

We construct the $p$-adic standard $L$-functions for ordinary families of Hecke eigensystems of the symplectic group $\operatorname{Sp}(2n)_{/\mathbb{Q}}$ using the doubling method. We explain a clear and simple strategy of choosing the local sections for the Siegel Eisenstein series on the doubling group $\operatorname{Sp}(4n)_{/\mathbb{Q}}$, which guarantees the nonvanishing of local zeta integrals and allows us to $p$-adically interpolate the restrictions of the Siegel Eisenstein series to $\operatorname{Sp}(2n)_{/\mathbb{Q}}\times \operatorname{Sp}(2n)_{/\mathbb{Q}}$.

scholarly journals Analytic ramifications and flat couples of local rings

1981 ◽  
Vol 146 (0) ◽  
pp. 201-208 ◽  
Author(s):  
Tomas Larfeldt ◽  
Christer Lech
Keyword(s):  
Local Rings

scholarly journals Characterizations of regular local rings via syzygy modules of the residue field

2018 ◽  
Vol 10 (3) ◽  
pp. 327-337
Author(s):  
Dipankar Ghosh ◽  
Anjan Gupta ◽  
Tony J. Puthenpurakal
Keyword(s):  
Residue Field ◽  
Local Rings ◽  
Syzygy Modules ◽  
Regular Local Rings
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