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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.