Jordan pairs of quadratic forms with values in invertible modules.

Hisatoshi Ikai

Collectanea Mathematica (2007)

  • Volume: 58, Issue: 1, page 85-100
  • ISSN: 0010-0757

Abstract

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Jordan pairs of quadratic forms are generalized so that they have forms with values in invertible modules. The role of such pairs turns out to be natural in describing 'big cells', a kind of open charts around unit sections, of Clifford and orthogonal groups as group schemes. Group germ structures on big cells are particularly interested in and related also to Cayley-Lipschitz transforms.

How to cite

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Ikai, Hisatoshi. "Jordan pairs of quadratic forms with values in invertible modules.." Collectanea Mathematica 58.1 (2007): 85-100. <http://eudml.org/doc/41798>.

@article{Ikai2007,
abstract = {Jordan pairs of quadratic forms are generalized so that they have forms with values in invertible modules. The role of such pairs turns out to be natural in describing 'big cells', a kind of open charts around unit sections, of Clifford and orthogonal groups as group schemes. Group germ structures on big cells are particularly interested in and related also to Cayley-Lipschitz transforms.},
author = {Ikai, Hisatoshi},
journal = {Collectanea Mathematica},
keywords = {Algebras de Jordan; Formas cuadráticas; Módulos algebraicos; big cell; Jordan pair; Clifford group; orthogonal group},
language = {eng},
number = {1},
pages = {85-100},
title = {Jordan pairs of quadratic forms with values in invertible modules.},
url = {http://eudml.org/doc/41798},
volume = {58},
year = {2007},
}

TY - JOUR
AU - Ikai, Hisatoshi
TI - Jordan pairs of quadratic forms with values in invertible modules.
JO - Collectanea Mathematica
PY - 2007
VL - 58
IS - 1
SP - 85
EP - 100
AB - Jordan pairs of quadratic forms are generalized so that they have forms with values in invertible modules. The role of such pairs turns out to be natural in describing 'big cells', a kind of open charts around unit sections, of Clifford and orthogonal groups as group schemes. Group germ structures on big cells are particularly interested in and related also to Cayley-Lipschitz transforms.
LA - eng
KW - Algebras de Jordan; Formas cuadráticas; Módulos algebraicos; big cell; Jordan pair; Clifford group; orthogonal group
UR - http://eudml.org/doc/41798
ER -

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