Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Mamuka Jibladze"'
Autor:
Mamuka Jibladze, Victor G. Kac
Publikováno v:
Indagationes Mathematicae. 32:1311-1331
We find the normal form of nilpotent elements in semisimple Lie algebras that generalizes the Jordan normal form in sl N , using the theory of cyclic elements.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92b94e7362254beb7883c5b26d5107cb
https://doi.org/10.1016/j.indag.2021.07.001
https://doi.org/10.1016/j.indag.2021.07.001
Publikováno v:
Transformation Groups. 26:479-500
We prove that all classical affine W-algebras W(g,f), where g is a simple Lie algebra and f is its non-zero nilpotent element, admit an integrable hierarchy of bi-Hamiltonian PDEs, except possibly for one nilpotent conjugacy class in G_2, one in F_4,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93eafe72bc084d624b0f79031e640d78
https://doi.org/10.1007/s00031-021-09645-0
https://doi.org/10.1007/s00031-021-09645-0
Publikováno v:
Journal of Mathematical Logic. 22
In this paper, we show that there exist (continuum many) varieties of bi-Heyting algebras that are not generated by their complete members. It follows that there exist (continuum many) extensions of the Heyting–Brouwer logic [Formula: see text] tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e07e92b16a61b91a0986106189ab626
https://doi.org/10.1142/s0219061322500131
https://doi.org/10.1142/s0219061322500131
Publikováno v:
arXiv
© 2020, Springer Science+Business Media, LLC, part of Springer Nature. This paper is a continuation of the theory of cyclic elements in semisimple Lie algebras, developed by Elashvili, Kac and Vinberg. Its main result is the classification of semisi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6116ea50abb51f7da997f6daac55929b
https://doi.org/10.1007/s00031-020-09568-2
https://doi.org/10.1007/s00031-020-09568-2
Publikováno v:
Algebra universalis. 82
We provide a simple proof of a recent result of Morton and van Alten that the canonical extension of a bounded distributive lattice is its free completely distributive extension. We show that this can be used to easily obtain a number of results, bot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b7f0fc1fd1d275a10be346272944e2f
https://doi.org/10.1007/s00012-021-00756-z
https://doi.org/10.1007/s00012-021-00756-z
Autor:
Teimuraz Pirashvili, Mamuka Jibladze
Publikováno v:
Journal of Homotopy and Related Structures. 15:167-183
Lie algebras and groups equipped with a multiplication $$\mu $$μ satisfying some compatibility properties are studied. These structures are called symmetric Lie $$\mu $$μ-algebras and symmetric $$\mu $$μ-groups respectively. An equivalence of cate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a7c6b0333ebc168f75f6d2fe415bd8e
https://doi.org/10.1007/s40062-019-00248-x
https://doi.org/10.1007/s40062-019-00248-x
Publikováno v:
Applied Categorical Structures. 27:663-686
We consider an alternate form of the equivalence between the category of compact Hausdorff spaces and continuous functions and a category formed from Gleason spaces and certain relations. This equivalence arises from the study of the projective cover
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f5fcb888e7cd6faee51905eddcc5aa6
https://doi.org/10.1007/s10485-019-09573-x
https://doi.org/10.1007/s10485-019-09573-x
Publikováno v:
Transformation Groups.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e277bd57f4f107c7cc308e9c56ea9c6
https://doi.org/10.1007/s00031-021-09664-x
https://doi.org/10.1007/s00031-021-09664-x
We classify all integrable triples in simple Lie algebras, up to equivalence. The importance of this problem stems from the fact that for each such equivalence class one can construct the corresponding integrable hierarchy of bi-Hamiltonian PDE. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff6af2fce8ed4faa7a56a5a0dd3e2a7c
http://hdl.handle.net/11573/1607252
http://hdl.handle.net/11573/1607252
Autor:
Luca Carai, Guram Bezhanishvili, Nick Bezhanishvili, David Gabelaia, Mamuka Jibladze, Silvio Ghilardi
Publikováno v:
Indagationes Mathematicae, 32(2), 498-535. Elsevier
We prove that the variety of nuclear implicative semilattices is locally finite, thus generalizing Diego's Theorem. The key ingredients of our proof include the coloring technique and construction of universal models from modal logic. For this we dev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fdc46d0f5a690546484a2682e1543036
http://arxiv.org/abs/2001.11060
http://arxiv.org/abs/2001.11060