Open AccessJournal Article
Real representations of C2-graded groups : the linear and Hermitian theories
Dmitriy Rumynin,James Taylor +1 more
TLDR
In this paper, it was shown that linear and hermitian representations of finite C2-graded groups are equivalent to a category of antilinear representations as an infinity-category.Abstract:
We study linear and hermitian representations of finite C2-graded groups. We prove that the category of linear representations is equivalent to a category of antilinear representations as an infinity-category. We also prove that the category hermitian representations, as an ∞-category, is equivalent to a category of usual representations.read more
Citations
More filters
Posted Content
Compact Lie Groups and Complex Reductive Groups
TL;DR: In this paper, it was shown that the categories of compact Lie groups and complex reductive groups are equivalent as infinity categories, and that the groups are not assumed to be connected.
References
More filters
Book
Higher Topos Theory
TL;DR: In this paper, a general introduction to higher category theory using the formalism of "quasicategories" or "weak Kan complexes" is provided, and a few applications to classical topology are included.
Journal ArticleDOI
$A^1$-homotopy theory of schemes
Fabien Morel,Vladimir Voevodsky +1 more
TL;DR: In this article, the authors present a legal opinion on the applicability of commercial or impression systématiques in the context of the agreement of the publication mathématique de l'I.H.É.S.
Journal ArticleDOI
The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
TL;DR: In this paper, the Wigner classification of group representations and co-representations is clarified and extended using mathematical tools developed by Hermann Weyl, and it is proved that the most general kind of matrix ensemble, defined with a symmetry group which may be completely arbitrary, reduces to a direct product of independent irreducible ensembles each of which belongs to one of the three known types.