Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Yoji Yoshii"'
Autor:
Jun Morita, Yoji Yoshii
Publikováno v:
Journal of Algebra. 616:97-154
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b00dd7c3a2658d540393d0927033984
https://doi.org/10.1016/j.jalgebra.2022.11.004
https://doi.org/10.1016/j.jalgebra.2022.11.004
Publikováno v:
Communications in Algebra. 50:2694-2718
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2d4b56fc50ba0944752240dc7ab9ea5
https://doi.org/10.1080/00927872.2021.2018448
https://doi.org/10.1080/00927872.2021.2018448
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. 55:689-736
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f5bf9457a6ea0d4d64b1e1e20f3d799e
https://doi.org/10.4171/prims/55-4-2
https://doi.org/10.4171/prims/55-4-2
Autor:
Yoji Yoshii, Jun Morita
Publikováno v:
Journal of Algebra. 440:379-442
In this study, we investigate a new class of Lie algebras, i.e., tame locally extended affine Lie algebras of nullity 1, which are an infinite-rank analog of affine Lie algebras. This type of algebra is called a locally affine Lie algebra. A certain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::224a6c07400fa41e8aa793506b0631f1
https://doi.org/10.1016/j.jalgebra.2015.05.018
https://doi.org/10.1016/j.jalgebra.2015.05.018
Autor:
Yoji Yoshii, Jun Morita
Publikováno v:
Journal of Algebra. 301:59-81
application/pdf
We propose a new simplified definition of extended affine Lie algebras (EALAs for short), and also discuss a general version of extended affine Lie algebras, called locally extended affine Lie algebras (local EALAs for short). We
We propose a new simplified definition of extended affine Lie algebras (EALAs for short), and also discuss a general version of extended affine Lie algebras, called locally extended affine Lie algebras (local EALAs for short). We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52c828cc76c7450574cbcee433e3cf99
https://doi.org/10.1016/j.jalgebra.2005.06.013
https://doi.org/10.1016/j.jalgebra.2005.06.013
Autor:
Yoji Yoshii
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. 42:739-762
We show the existence of a nonzero graded form on a Lie torus by the existence of a nonzero graded form on a structurable torus. This gives a simple characterization of the core of an extended affine Lie algebra (EALA). Namely, the core of any EALA i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c0ab58155449241eea7d7d4a18aa079
https://doi.org/10.2977/prims/1166642158
https://doi.org/10.2977/prims/1166642158
Publikováno v:
Publications of the Research Institute for Mathematical Sciences; 2019, Vol. 55 Issue 4, p689-736, 48p, 3 Diagrams, 4 Graphs
Publikováno v:
Canadian Mathematical Bulletin. 45:525-536
We introduce the notion of Lie algebras with plus-minus pairs as well as regular plus-minus pairs. These notions deal with certain factorizations in universal enveloping algebras. We show that many important Lie algebras have such pairs and we classi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f39b528869f6fb5de107b130c68af0f6
https://doi.org/10.4153/cmb-2002-053-4
https://doi.org/10.4153/cmb-2002-053-4
Autor:
Yoji Yoshii, Erhard Neher
Publikováno v:
Transactions of the American Mathematical Society. 355:1079-1108
Jordan and alternative tori are the coordinate algebras of extended affine Lie algebras of types A 1 and A 2 . In this paper we show that the derivation algebra of a Jordan torus is a semidirect product of the ideal of inner derivations and the subal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b76cac2635ecd5b827201c2a307dce3
https://doi.org/10.1090/s0002-9947-02-03013-1
https://doi.org/10.1090/s0002-9947-02-03013-1
Autor:
Yoji Yoshii
Publikováno v:
Journal of Algebra. 256:28-50
The octonion torus (or Cayley torus) appears as a coordinate algebra of extended affine Lie algebras of type A 2 and F 4 . A generalized version of the octonion torus, called division Z n -graded alternative algebras, is classified in this paper. Usi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3142997ba6dee7e62de3a0ad9c13a046
https://doi.org/10.1016/s0021-8693(02)00022-4
https://doi.org/10.1016/s0021-8693(02)00022-4