Twisted gamma filtration and algebras with orthogonal involution

Caroline Junkins

Open Mathematics (2014)

  • Volume: 12, Issue: 3, page 421-428
  • ISSN: 2391-5455

Abstract

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For the Grothendieck group of a split simple linear algebraic group, the twisted γ-filtration provides a useful tool for constructing torsion elements in -rings of twisted flag varieties. In this paper, we construct a non-trivial torsion element in the γ-ring of a complete flag variety twisted by means of a PGO-torsor. This generalizes the construction in the HSpin case previously obtained by Zainoulline.

How to cite

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Caroline Junkins. "Twisted gamma filtration and algebras with orthogonal involution." Open Mathematics 12.3 (2014): 421-428. <http://eudml.org/doc/269040>.

@article{CarolineJunkins2014,
abstract = {For the Grothendieck group of a split simple linear algebraic group, the twisted γ-filtration provides a useful tool for constructing torsion elements in -rings of twisted flag varieties. In this paper, we construct a non-trivial torsion element in the γ-ring of a complete flag variety twisted by means of a PGO-torsor. This generalizes the construction in the HSpin case previously obtained by Zainoulline.},
author = {Caroline Junkins},
journal = {Open Mathematics},
keywords = {Linear algebraic group; Tits algebra; Gamma filtration; Grothendieck group; Torsion; Algebras with orthogonal involution; linear algebraic group; gamma filtration; torsion; algebras with orthogonal involution},
language = {eng},
number = {3},
pages = {421-428},
title = {Twisted gamma filtration and algebras with orthogonal involution},
url = {http://eudml.org/doc/269040},
volume = {12},
year = {2014},
}

TY - JOUR
AU - Caroline Junkins
TI - Twisted gamma filtration and algebras with orthogonal involution
JO - Open Mathematics
PY - 2014
VL - 12
IS - 3
SP - 421
EP - 428
AB - For the Grothendieck group of a split simple linear algebraic group, the twisted γ-filtration provides a useful tool for constructing torsion elements in -rings of twisted flag varieties. In this paper, we construct a non-trivial torsion element in the γ-ring of a complete flag variety twisted by means of a PGO-torsor. This generalizes the construction in the HSpin case previously obtained by Zainoulline.
LA - eng
KW - Linear algebraic group; Tits algebra; Gamma filtration; Grothendieck group; Torsion; Algebras with orthogonal involution; linear algebraic group; gamma filtration; torsion; algebras with orthogonal involution
UR - http://eudml.org/doc/269040
ER -

References

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