Zobrazeno 1 - 10
of 289
pro vyhledávání: '"Morita, Jun"'
Publikováno v:
Journal of Pure and Applied Algebra Vol.227, Issue7, July 2023
In infinite-dimensional Lie theory, the affine Kac-Moody Lie algebras and groups play a distinguished role due to their many applications to various areas of mathematics and physics. Underlying these infinite-dimensional objects there are closely rel
Externí odkaz:
http://arxiv.org/abs/2107.12727
Publikováno v:
Mathematical Journal of Okayama University (ISSN 0030-1566) Vol. 65 (January, 2023)
We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realization of them as (twisted) loop groups by means of Galois descent considerations.
Comment: 39 pages; to appear in Mathematical Journal of Okayama Un
Comment: 39 pages; to appear in Mathematical Journal of Okayama Un
Externí odkaz:
http://arxiv.org/abs/2105.00156
Autor:
Morita, Jun, Plotkin, Eugene
The paper is devoted to model-theoretic properties of Kac-Moody groups with the focus on elementary equivalence of Kac-Moody groups. We show that elementary equivalence of (untwisted) affine Kac-Moody groups implies coincidence of their generalized C
Externí odkaz:
http://arxiv.org/abs/2103.04575
Autor:
Nepal, Sat Prasad, Nakasato, Takehiko, Fukagai, Takashi, Ogawa, Yoshio, Nakagami, Yoshihiro, Shichijo, Takeshi, Morita, Jun, Maeda, Yoshiko, Oshinomi, Kazuhiko, Unoki, Tsutomu, Noguchi, Tetsuo, Inoue, Tatsuki, Kato, Ryosuke, Amano, Satoshi, Mizunuma, Moyuru, Kurokawa, Masahiro, Tsunokawa, Yoshiki, Yasuda, Sou
Publikováno v:
In Asian Journal of Urology April 2023 10(2):158-165
Discretization of SU(2) and the Orthogonal Group Using Icosahedral Symmetries and the Golden Numbers
Autor:
Moody, Robert V., Morita, Jun
The vertices of the four dimensional $120$-cell form a non-crystallographic root system whose corresponding symmetry group is the Coxeter group $H_{4}$. There are two special coordinate representations of this root system in which they and their corr
Externí odkaz:
http://arxiv.org/abs/1705.04910
The paper is a short survey of recent developments in the area of word maps evaluated on groups and algebras. It is aimed to pose questions relevant to Kac--Moody theory.
Comment: 16 pags
Comment: 16 pags
Externí odkaz:
http://arxiv.org/abs/1506.01422
Autor:
Morita, Jun, Rémy, Bertrand
We prove simplicity for incomplete rank 2 Kac-Moody groups over algebraic closures of finite fields with trivial commutation relations between root groups corresponding to prenilpotent pairs. We don't use the (yet unknown) simplicity of the correspon
Externí odkaz:
http://arxiv.org/abs/1211.4373
Autor:
Morita, Jun, Yoshii, Yoji
We investigate a new class of Lie algebras, which are tame locally extended affine Lie algebras of nullity 1. It is an infinite-rank analog of affine Lie algebras, and their centerless cores are a local version of loop algebras. Such algebras are cal
Externí odkaz:
http://arxiv.org/abs/1208.2104
Autor:
Morita, Jun, Zhao, Kaiming
Publikováno v:
Communications in Contemporary Mathematics, Vol.14, No.2(2012), 63-84
In this paper, we determine derivations of Borel subalgebras and their derived subalgebras called nilradicals, in Kac-Moody algebras (and contragredient Lie algebras) over any field of characteristic 0; and we also determine automorphisms of those su
Externí odkaz:
http://arxiv.org/abs/0806.4922