منابع مشابه
Constructing Frobenius Algebras
We discuss the relationship between algebras, coalgebras, and Frobenius algebras. We describe a method of constructing a Frobenius algebra, given a finite-dimensional algebra, and we demonstrate the method with several concrete examples.
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We give an algorithm for constructing the algebraic hull of a given matrix Lie algebra. It is based on an algorithm for finding integral linear dependencies of the roots of a polynomial, that is probably of independent interest.
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This is a sequel to [Li6]. In this paper, we focus on the construction of quantum vertex algebras over C, whose notion was formulated in [Li6] with Etingof and Kazhdan’s notion of quantum vertex operator algebra (over C[[h]]) as one of the main motivations. As one of the main steps in constructing quantum vertex algebras, we prove that every countable-dimensional nonlocal (namely noncommutative...
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Let be an artin algebra and denote by mod(() the category of nitely generated-modules. Apart from those we are also interested in-modules which are not nitely generated. These are called large. Recall that the algebra is of innnite representation type provided that mod(() has innnitely many isomorphism classes of indecomposable objects. A theorem of Auslander asserts that there exists a large i...
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Since the invention of canonical bases of quantized enveloping algebras, one of the main problems has been to establish what they look like. Explicit formulas are only known in a few cases corresponding to root systems of low rank, namely A1 (trivial), A2 ([Lusztig 90]), A3 ([Xi 99a]), and B2 ([Xi 99b]). Furthermore, there is evidence suggesting that for higher ranks the formulas become so comp...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2016
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2016.1236123