An isomorphism theorem for Yokonuma–Hecke algebras and applications to link invariants
نویسندگان
چکیده
منابع مشابه
Isomorphism Invariants of Restricted Enveloping Algebras
Let L and H be finite-dimensional restricted Lie algebras over a perfect field F such that u(L) = u(H), where u(L) is the restricted enveloping algebra of L. We prove that if L is p-nilpotent and abelian, then L = H . We deduce that if L is abelian and F is algebraically closed, then L = H . We use these results to prove the main result of this paper stating that if L is p-nilpotent, then L/L +...
متن کاملLink Invariants, Holonomy Algebras and Functional Integration
Given a principal G-bundle over a smooth manifold M , with G a compact Lie group, and given a finite-dimensional unitary representation ρ of G, one may define an algebra of functions on A/G, the “holonomy Banach algebra” Hb, by completing an algebra generated by regularized Wilson loops. Elements of the dual H∗b may be regarded as a substitute for measures on A/G. There is a natural linear map ...
متن کاملAn isomorphism theorem for digraphs
A seminal result by Lovász states that two digraphs A and B (possibly with loops) are isomorphic if and only if for every digraph X the number of homomorphisms X → A equals the number of homomorphisms X → B. Lovász used this result to deduce certain cancellation properties for the direct product of digraphs. We develop an analogous result for the class of digraphs without loops, and with weak h...
متن کاملAn Isomorphism Theorem for Finitely Additive Measures
A problem which is appealing to the intuition in view of the relative frequency interpretation of probability is to define a measure on a countable space which assigns to each point the measure 0. Such a measure of course becomes trivial if it is countably additive. Finitely additive measures of this type have been discussed by R. C. Buck [l] and by E. F. Buck and R. C. Buck [2]. In a discussio...
متن کاملAn Isomorphism Theorem for Real-Closed Fields
A classical theorem of Steinitz [I& p. 1251 states that the characteristic of an algebraically closed field, together with it.s absolute degree of transcendency, uniquely det,ermine the field (up to isomorphism). It is easily seen that the word real-closed cannot be substituted for the words algebraically closed in this theorem. It is therefore natural to inquire what invariants other than the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2015
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-015-1598-1