Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory - Annals of Mathematics Studies 199 (Paperback) by Ben Brubaker
The Weyl series multi-series Dirichlet are generalizations of the function of Rita olives. Like the function of Riemann Zeta, it is a Dirichlet series with continuous analyzes and functional equations,…
Weyl Group Multiple Dirichlet Series synopsis
The Weyl series multi-series Dirichlet are generalizations of the function of Rita olives. Like the function of Riemann Zeta, it is a Dirichletseries with continuous analyzes and functional equations, having applications for analytic number theory. By contrast, Deyichlet's multipleseries of Weyl series may be functions for several complex variables and their sets of functional equations Weyl groups may be arbitrarily limited.
Moreover, its multiple transactions even reach the roots of the unit, and mainstream the concept of Euler products. This book proves the founding findings about this series and develops its integration.
These interesting functions can be described as the Whitaker coefficients of the Eisenstein series on elaborate sets, but this description does not easily lead to a clear description of the transactions. Transactions can be expressed as rates on the Kashiwara Crystals, which are isotopes of representative non-refractive characters from lying groups.
For type A, two distinct descriptions, and if they are known to be equal, follow the analytical characteristics of the Dirichletseries. Proofing of the two Weyl multi-group combinations of the Dirichletseries requires comparing two sets of Gauss products through poetic points in polytopes. Through a series of abrupt aggregate cuts, this is achieved.
The book includes cross-sectional material on crystals, distortions of the Weyl character formula, and Yang-Baxter equation.
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