Abstract
The purpose of the paper is to derive linkage principle for modular representations of ortho-symplectic supergroups. We follow the approach of Doty and investigate in detail the representation theory of the ortho-symplectic group SpO(2|1) and that of its Frobenius thickening. Using the description of flags and adjacent Borel supersubgroups we derive first the strong linkage for the Frobenius thickening GrT of the ortho-symplectic supergroup G of type SpO(2m|2n+1) and SpO(2m|2n). Based on this, we derive the linkage principle for ortho-symplectic supergroups SpO(2m|2n+1) and SpO(2m|2n).
Original language | English (US) |
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Pages (from-to) | 444-482 |
Number of pages | 39 |
Journal | Journal of Algebra |
Volume | 493 |
DOIs | |
State | Published - Jan 1 2018 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory