منابع مشابه
Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra
If g is a complex simple Lie algebra, and k does not exceed the dual Coxeter number of g, then the k coefficient of the dim g power of the Euler product may be given by the dimension of a subspace of ∧g defined by all abelian subalgebras of g of dimension k. This has implications for all the coefficients of all the powers of the Euler product. Involved in the main results are Dale Peterson’s 2 ...
متن کاملEuler integration and Euler multiplication
By Euler integration we mean the integration of definable functions on R against the Euler characteristic. We investigate the structure of the ring of all definable functions (with compact support respectively), the multiplication being defined by the convolution with respect to the Euler integration.
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Let $mathfrak{L}$ be the Virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. We investigate the structure of the Lie triplederivation algebra of $mathfrak{L}$ and $mathfrak{g}$. We provethat they are both isomorphic to $mathfrak{L}$, which provides twoexamples of invariance under triple derivation.
متن کاملEuler-Bessel and Euler-Fourier Transforms
We consider a topological integral transform of Bessel (concentric isospectral sets) type and Fourier (hyperplane isospectral sets) type, using the Euler characteristic as a measure. These transforms convert constructible Z-valued functions to continuous R-valued functions over R n. Core contributions include: the definition of the topological Bessel transform; a relationship in terms of the lo...
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We describe in brief some aspects of the Langlands program, focussing on Euler products, and also some new constructions, where Euler products are replaced by twisted Euler products. The twisted Euler products are related to automorphic forms on metaplectic groups. 2000 Mathematics Subject Classification: 11F66, 11F55, 11F70, 11M41, 22E55.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1923
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1923-1501234-1