Nikita A. Karpenko: Incompressibility of products of Weil transfers of generalized Severi-Brauer varieties

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Submission: 2014, Jun, 26

We generalize the result of [1] on incompressibility of Galois Weil transfer of generalized Severi-Brauer varieties, to direct products of varieties of such type; as shown in [1], this is needed to compute essential dimension of representations of finite groups. We also provide a generalization to non-Galois (separable) Weil transfer.

[1] Karpenko, N. A., and Reichstein, Z. A numerical invariant for linear representations of finite groups. Linear Algebraic Groups and Related Structures (preprint server) 534 (2014, May 15, revised: 2014, June 18), 24 pages.

2010 Mathematics Subject Classification: 20G15; 14C25

Keywords and Phrases: Central simple algebras, algebraic groups, projective homogeneous varieties, Severi-Brauer varieties, Weil transfer, Chow groups and motives, canonical dimension and incompressibility.

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