On the dimension of modules and algebras
WebThe questions concerning the dimension of the tensor product of two K-algebras have turned out to be surprisingly difficult. In this paper we follow a method using spectral … Web28 de jan. de 2002 · Request PDF On Jan 28, 2002, Mihai D. Staic published On the dimension of the irreducible modules for semisimple Hopf algebras Find, read and cite all the research you need on ResearchGate
On the dimension of modules and algebras
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Web1 de fev. de 2024 · Shen Li, René Marczinzik, Shunhua Zhang. In this article we investigate the relations between the Gorenstein projective dimensions of -modules and their socles for minimal n-Auslander-Gorenstein algebras in the sense of Iyama and Solberg \cite {IS}. First we give a description of projective-injective -modules in terms of their socles. Web12 de mar. de 2014 · Using the description of the Ziegler spectrum we characterise modules with various stability-theoretic properties (ω-stability, superstability, categoricity) over certain classes of finite-dimensional algebras. We also show that, for modules over the algebras we consider, having few types is equivalent to being ω-stable.
Web7 de ago. de 2024 · Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by … Web19 de fev. de 2024 · Let A$\\mathcal {A}$ be an abelian category having enough projective objects and enough injective objects. We prove that if A$\\mathcal {A}$ admits an additive generating object, then the extension dimension and the weak resolution dimension of A$\\mathcal {A}$ are identical, and they are at most the representation dimension of …
Web27 de mai. de 2014 · We study the projective dimension of finitely generated modules over cluster-tilted algebras End 𝒞 (T) where T is a cluster-tilting object in a cluster category 𝒞.It … WebON THE DIMENSION OF MODULES AND ALGEBRAS, VII ALGEBRAS WITH FINITE-DIMENSIONAL RESIDUE-ALGEBRAS J. P. JANS and TADASI NAKAYAMA It was …
WebON THE DIMENSION OF MODULES AND ALGEBRAS, II 3 §2. Frobenius algebras DEFINITION Let A be a if-algebra which is iΓ-projective and finitely K- generated. We shall say that A is a Frobenius algebra if there exists a left A- module isomorphism Φ: A ^ A°. …
WebThis paper deals with representations of Lie algebras of reductive groups in prime charateristic. Several results previously known only for restricted representations (on graded structures, filtrations, translation functors) are extended to representations with a non-zero p -character. In a special case in type B 2 all simple modules with a certain p -character … chitravansham logoWeb7 de abr. de 2024 · Then we obtain an efficient algorithm for the Gelfand–Kirillov dimensions of simple highest weight modules of classical Lie algebras, whose highest weight is not necessarily regular or integral. grass cutting worthingWeb4 de abr. de 2024 · We first formulate and prove a version of Premet’s conjecture for finite W-superalgebras associated with basic Lie superalgebras.As in the case of W-algebras, … chitra tripathi monthly salaryWeb6 de dez. de 2016 · As applications, we calculate the Gelfand–Kirillov dimensions of various algebras of interest, including the (quantized) Weyl algebras, ambiskew polynomial rings, noetherian (generalized) down ... chitravana resorts in mysoreWeb7 de abr. de 2024 · Then we obtain an efficient algorithm for the Gelfand–Kirillov dimensions of simple highest weight modules of classical Lie algebras, whose highest … chitra varnan 100 wordsWeb20 de mai. de 2024 · Download a PDF of the paper titled Dimensions of modular irreducible representations of semisimple Lie algebras, by Roman Bezrukavnikov and 1 … grass cutting work done reportWeb9 de mai. de 2024 · Download PDF Abstract: We study certain special tilting and cotilting modules for an algebra with positive dominant dimension, each of which is generated or cogenerated (and usually both) by projective-injectives. These modules have various interesting properties, for example that their endomorphism algebras always have global … chitravana resorts mysore reviews