Zobrazeno 1 - 10
of 171 300
pro vyhledávání: '"Àlgebra"'
Autor:
Mallory, Devlin, Sayrafi, Mahrud
The problems of finding isomorphism classes of indecomposable modules with certain properties, or determining the indecomposable summands of a module, are ubiquitous in commutative algebra, group theory, representation theory, and other fields. The p
Externí odkaz:
http://arxiv.org/abs/2412.19799
Autor:
Sayrafi, Mahrud
We prove a Horrocks-type splitting criterion for arbitrary smooth projective toric varieties under an additional hypothesis similar to the case of products of projective spaces by Eisenbud--Erman--Schreyer.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/2412.19793
Given a feature set for the shape of a closed loop, it is natural to ask which features in that set do not change when the starting point of the path is moved. For example, in two dimensions, the area enclosed by the path does not depend on the start
Externí odkaz:
http://arxiv.org/abs/2412.19670
Autor:
Jia, Zhian
We propose a (1+1)D lattice model, inspired by a weak Hopf algebra generalization of the cluster state model, which realizes Haagerup fusion category symmetry and features a tensor product Hilbert space. The construction begins with a reconstruction
Externí odkaz:
http://arxiv.org/abs/2412.19657
Autor:
Hanihara, Norihiro
We study the category $\mathop{\mathrm{ref}}\Lambda$ of reflexive modules over a two-sided Noetherian ring $\Lambda$. We show that the category $\mathop{\mathrm{ref}}\Lambda$ is quasi-abelian if and only if $\Lambda$ satisfies certain Auslander-type
Externí odkaz:
http://arxiv.org/abs/2412.19625
Autor:
Okada, Masaki
We show that the Mathieu groups $M_{24}$ and $M_{23}$ in the isometry group of the odd Leech lattice do not lift to subgroups of the automorphism group of its lattice vertex operator (super)algebra. In other words, the subgroups $2^{24}.M_{24}$ and $
Externí odkaz:
http://arxiv.org/abs/2412.19430
We introduce the quantum Berezinian for the quantum affine superalgebra $\mathrm{U}_q(\widehat{\gl}_{M|N})$ and show that the coefficients of the quantum Berezinian belong to the center of $\mathrm{U}_q(\widehat{\gl}_{M|N})$. We also construct anothe
Externí odkaz:
http://arxiv.org/abs/2412.19385
Autor:
Cox, Sean
Deconstructibility is an often-used sufficient condition on a class $\mathcal{C}$ of modules that allows one to carry out homological algebra \emph{relative to $\mathcal{C}$}. The principle \textbf{Maximum Deconstructibility (MD)} asserts that a cert
Externí odkaz:
http://arxiv.org/abs/2412.19380
Autor:
Adachi, Norio
Let $v$ be a discrete valuation of a field $K$, which indicates that the valuation group of $v$ is isomorphic to the integers $\mathbb{Z}$ with the natural order, and let $L$ be a finite separable extension of $K$ with a complete set $\{V_1,V_2,...,V
Externí odkaz:
http://arxiv.org/abs/2412.19224
Autor:
Matushko, Maria
We propose a trigonometric solution of the associative Yang-Baxter equation related to the queer Lie superalgebra which in its turn satisfies the quantum Yang-Baxter equation.
Externí odkaz:
http://arxiv.org/abs/2412.19214