Canonical  p ‐dimensions of algebraic groups and degrees of basic polynomial invariants | Zendy

Zainoulline Kirill | Zendy

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Canonical p ‐dimensions of algebraic groups and degrees of basic polynomial invariants

Author(s) -

Zainoulline Kirill

Publication year - 2007

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdm002

Subject(s) - mathematics , torsion (gastropod) , algebraic number , pure mathematics , algebraic group , prime (order theory) , dimension (graph theory) , dimension of an algebraic variety , algebraic surface , polynomial , algebra over a field , combinatorics , mathematical analysis , medicine , surgery

We provide a new, uniform, way to compute a canonical p ‐dimension of a split algebraic group G for a torsion prime p using degrees of basic polynomial invariants described by V. Kac. As an application, we compute the canonical p ‐dimensions for all split exceptional simple algebraic groups.

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