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Symplectic Groups

✍ Scribed by O. T. O'Meara


Publisher
American Mathematical Society
Year
1978
Tongue
English
Leaves
125
Series
Mathematical surveys 16
Category
Library

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πŸ“œ SIMILAR VOLUMES


Symplectic groups
✍ O. T. O'Meara πŸ“‚ Library πŸ“… 1978 πŸ› American Mathematical Society 🌐 English

This volume, the sequel to the author's Lectures on Linear Groups, is the definitive work on the isomorphism theory of symplectic groups over integral domains. Recently discovered geometric methods which are both conceptually simple and powerful in their generality are applied to the symplectic grou

Symplectic Lie Groups
✍ Oliver Baues, Vicente CortΓ©s πŸ“‚ Library πŸ“… 2016 πŸ› SociΓ©tΓ© MathΓ©matique de France 🌐 English

We develop the structure theory of symplectic Lie groups based on the study of their isotropic normal subgroups. The article consists of three main parts. In the first part we show that every symplectic Lie group admits a sequence of subsequent symplectic reductions to a unique irreducible symplecti

Degenerate Principal Series for Symplect
✍ Chris Jantzen πŸ“‚ Library πŸ“… 1993 πŸ› Amer Mathematical Society 🌐 English

This paper is concerned with induced representations for $p$-adic groups. In particular, Jantzen examines the question of reducibility in the case where the inducing subgroup is a maximal parabolic subgroup of $Sp_{2n}(F)$ and the inducing representation is one-dimensional. Two different approac