It is known that the symplectic group Sp p has two complex conjugate 2 n n Ε½ . Ε½ . irreducible representations of degree p q 1 r2 realized over β«ήβ¬ y p , provided ' that p ' 3 mod 4. In the paper we give an explicit construction of an odd unimodu-Ε½ . Ε½ . n n lar Sp p ΠΈ 2-invariant lattice β¬ p, n in
The symplectic group and determinants
β Scribed by Elisabetta Strickland
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 1014 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We have deliberately favoured constructive proofs to existence arguments. In regards to linear representations, emphasis has been placed on matrices and linear transformations rather than modules and characters. As a result, every proposition asserting the existence of a certain object can be used a
In the Preamble I shall give a running summary of Sections 1}11 without changing item numbers. For instance Result (3.2) and Remark (3.3) from Section 3 will be reproduced with the same designations. I shall write (P1), 2 , (P11) to indicate that I am summarizing Section 1, 2 , Section 11 of Part I,