Zobrazeno 1 - 10
of 195
pro vyhledávání: '"Fialowski, Alice"'
We show that the Heisenberg Lie algebras over a field $\mathbb{F}$ of characteristic $p>0$ admit a family of restricted Lie algebras, and we classify all such non-isomorphic restricted Lie algebra structures. We use the ordinary 1- and 2-cohomology s
Externí odkaz:
http://arxiv.org/abs/2402.14249
Autor:
Evans, Tyler J., Fialowski, Alice
Consider the maximal nilpotent subalgebra $n_+(A_1^{(1)})$ of the simplest affine algebra $A_1^{(1)}$ which is one of the $\mathbb{N}$-graded Lie algebras with minimal number of generators. We show truncated versions of this algebra in positive chara
Externí odkaz:
http://arxiv.org/abs/2208.03783
Autor:
Fialowski, Alice, Penkava, Michael
In this work we consider all metric Lie algebras, having a nondegenerate symmetric invariant bilinear form, over \C and \R up to dimension 5 and all metric Lie algebras over \C in dimension 6. We introduce cyclic and reduced cyclic cohomology to iden
Externí odkaz:
http://arxiv.org/abs/2009.08426
Autor:
Fialowski, Alice, Mandal, Ashis
In this note we consider low dimensional metric Leibniz algebras with an invariant inner product over the complex numbers up to five dimension. We study their deformations, and give explicit formulas for the cocycles and deformations. We identify amo
Externí odkaz:
http://arxiv.org/abs/2007.11908
Autor:
Fialowski, Alice, Fuchs, Ekaterina, Fuchs, Elena, Khesin, Boris, Kirillov, Alexandre, Malikov, Fedor, Ovsienko, Valentin, Sossinsky, Alexei, Tabachnikov, Serge
Publikováno v:
SIGMA 16 (2020), 023, 17 pages
This article is a collection of several memories for a special issue of SIGMA devoted to Dmitry Borisovich Fuchs.
Externí odkaz:
http://arxiv.org/abs/2004.03270
Autor:
Fialowski, Alice, Iohara, Kenji
In this lecutre note, we consider infinite dimensional Lie algebras of generalized Jacobi matrices $\mathfrak{g}J(k)$ and $\mathfrak{gl}_\infty(k)$, which are important in soliton theory, and their orthogonal and symplectic subalgebras. In particular
Externí odkaz:
http://arxiv.org/abs/2003.00661
Autor:
Evans, Tyler J., Fialowski, Alice
Publikováno v:
SIGMA 15 (2019), 095, 11 pages
For the $p$-dimensional filiform Lie algebra ${\mathfrak m}_2(p)$ over a field ${\mathbb F}$ of prime characteristic $p\ge 5$ with nonzero Lie brackets $[e_1,e_i] = e_{i+1}$ for $1
Externí odkaz:
http://arxiv.org/abs/1901.07532
Autor:
Evans, Tyler J., Fialowski, Alice
We show, for a field ${\mathbb F}$ of prime characteristic $p>0$, that the truncated filiform Lie algebra ${\frak m}_0(p)$ admits a family ${\frak m}_0^\lambda(p)$ of restricted Lie algebra structures parameterized by elements $\lambda\in {\mathbb F}
Externí odkaz:
http://arxiv.org/abs/1801.08178
Autor:
Fialowski, Alice, Iohara, Kenji
In this note, we compute the homology with trivial coefficients of Lie algebras of generalized Jacobi matrices of type $B, C$ and $D$ over an associative unital $k$-algebra with $k$ being a field of characteristic $0$.
Comment: To appear in Atti
Comment: To appear in Atti
Externí odkaz:
http://arxiv.org/abs/1801.00624
Autor:
Fialowski, Alice, Penkava, Michael
In this paper, the authors apply a stratification of moduli spaces of complex Lie algebras to analyzing the moduli spaces of nxn matrices under scalar similarity and bilinear forms under the cogredient action. For similar matrices, we give a complete
Externí odkaz:
http://arxiv.org/abs/1708.01196