Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Irina Shchepochkina"'
Publikováno v:
International Journal of Algebra and Computation. 32:1345-1368
Bol operators (Bols for short) are differential operators invariant under the projective action of [Formula: see text] between spaces of weighted densities on the 1-dimensional manifold. Here, we described analogs of Bols: [Formula: see text]-invaria
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8faa44366456a8c5295d18658585a018
https://doi.org/10.1142/s021819672250059x
https://doi.org/10.1142/s021819672250059x
Publikováno v:
International Journal of Algebra and Computation. 32:807-835
The Bol operators are unary differential operators between spaces of weighted densities on the 1-dimensional manifold invariant under projective transformations of the manifold. On the $1|n$-dimensional supermanifold (superstring) $\mathcal{M}$, we c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c1ab004ef7a540a2e37e3f964f786bd
https://doi.org/10.1142/s0218196722500345
https://doi.org/10.1142/s0218196722500345
Publikováno v:
International Mathematics Research Notices. 2023:54-94
All results concern characteristic 2. Two procedures that to every simple Lie algebra assign simple Lie superalgebras, most of the latter new, are offered. We prove that every simple finite-dimensional Lie superalgebra is obtained as the result of on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23d0e336f73c575dcb11878ca34c5631
https://doi.org/10.1093/imrn/rnab265
https://doi.org/10.1093/imrn/rnab265
As is well-known, the dimension of the space spanned by the non-degenerate invariant symmetric bilinear forms (NISes) on any simple finite-dimensional Lie algebra or Lie superalgebra is equal to at most 1 if the characteristic of the algebraically cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::921f5d70623d9dd9b49a67e1f5dd0ea9
Autor:
Sofian Bouarroudj, Aleksei Vital'evich Lebedev, Irina Shchepochkina, Andrey Krutov, Dmitrii Aleksandrovich Leites
Publikováno v:
Функциональный анализ и его приложения. 52:61-64
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4018cd3febe496bea7ed42f09305b432
https://doi.org/10.4213/faa3487
https://doi.org/10.4213/faa3487
Publikováno v:
Journal of Nonlinear Mathematical Physics. 17:311
The classification of simple finite dimensional modular Lie algebras over algebraically closed fields of characteristic p > 3 (described by the generalized Kostrikin–Shafarevich conjecture) being completed due to Block, Wilson, Premet and Strade (w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9307bfdf4950bf2e9ba332669a83169b
https://doi.org/10.1142/s1402925110000878
https://doi.org/10.1142/s1402925110000878
We review the list of non-degenerate invariant (super)symmetric bilinear forms (briefly: NIS) on the following simple (relatives of) Lie (super)algebras: (a) with symmetrizable Cartan matrix of any growth, (b) with non-symmetrizable Cartan matrix of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a5c8143f0ec44f315c21d1935c2f3d6
http://arxiv.org/abs/1806.05505
http://arxiv.org/abs/1806.05505
Publikováno v:
International Mathematics Research Notices. 2016:5695-5726
Several improvements of the Kostrikin-Shafarevich method conjecturally producing all simple finite-dimensional Lie algebras over algebraically closed fields of any positive characteristic were rece ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::83caf60fb71ad7892ef0c5b0caaa216e
https://doi.org/10.1093/imrn/rnv327
https://doi.org/10.1093/imrn/rnv327
Publikováno v:
Mathematical Research Letters. 22:353-402
Of four types of Kaplansky algebras, type-2 and type-4 algebras have previously unobserved Z/2-gradings: nonlinear in roots. A method assigning a simple Lie superalgebra to every Z/2-graded simple Lie algebra in characteristic 2 is illustrated by sev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f98158af409e5e7111d8a2b76504dde5
https://doi.org/10.4310/mrl.2015.v22.n2.a3
https://doi.org/10.4310/mrl.2015.v22.n2.a3
Publikováno v:
Theoretical and Mathematical Physics. 173:1687-1708
In 1996/7, J. Bernstein observed that smooth or analytic supermanifolds that mathematicians study are real or (almost) complex ones, while Minkowski superspaces are completely different objects. They are what we call almost real-complex supermanifold
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb3d5de308083924b607344185e91ac3
https://doi.org/10.1007/s11232-012-0141-3
https://doi.org/10.1007/s11232-012-0141-3