Subnormal structure of symplectic groups over (2,3)-full rings

1993 ◽  
Vol 34 (6) ◽  
pp. 1149-1153 ◽  
Author(s):  
S. Tazhetdinov
Keyword(s):  
Symplectic Groups ◽  
Subnormal Structure

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 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.

-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 Quadratic residue codes and symplectic groups

1974 ◽  
Vol 29 (1) ◽  
pp. 150-171 ◽  
Author(s):  
Harold N Ward
Keyword(s):  
Quadratic Residue ◽  
Symplectic Groups ◽  
Quadratic Residue Codes

scholarly journals Essential Dimension of Projective Orthogonal and Symplectic Groups of Small Degree

2014 ◽  
Vol 43 (2) ◽  
pp. 693-701
Author(s):  
Sanghoon Baek
Keyword(s):  
Small Degree ◽  
Symplectic Groups ◽  
Essential Dimension

Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups

2018 ◽  
Vol 57 (3) ◽  
pp. 201-210
Author(s):  
D. V. Lytkina ◽  
V. D. Mazurov
Keyword(s):  
Finite Fields ◽  
Symplectic Groups ◽  
Locally Finite ◽  
Periodic Groups

On the Mislin Genus of Symplectic Groups

2003 ◽  
Vol 87 (01) ◽  
pp. 247-272
Author(s):  
PIERRE Ghienne
Keyword(s):  
Symplectic Groups

Periods and (χ, b)-factors of cuspidal automorphic forms of symplectic groups

2018 ◽  
Vol 225 (1) ◽  
pp. 267-320
Author(s):  
Dihua Jiang ◽  
Chenyan Wu
Keyword(s):  
Automorphic Forms ◽  
Symplectic Groups

Some Symplectic Groups

2015 ◽  
pp. 57-60
Keyword(s):  
Symplectic Groups
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