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centralizers for wells pumps
Topological Measure Theory for Double Centralizer Algebras
Topological Measure Theory for Double Centralizer Algebras

Key, words and phrases. Tight, a-additive, r-additive measure, ,double centralizer, algebra. (1) Part of the results in this paper are contained in the author's dissertation written under the direction of Professor H. S. Collins at Louisiana State University. The author wishes to thank Professor Collins for his encouragement and advice.

Reductive dual pair - Wikipedia
Reductive dual pair - Wikipedia

Examples. The full symplectic group G = Sp(W) and the two-element group G′, the center of Sp(W), form a reductive dual pair.The double ,centralizer, property is clear from the way these groups were defined: the ,centralizer, of the group G in G is its center, and the ,centralizer, of the center of any group is the group itself. The group G′, consists of the identity transformation and its ...

CUBIC DOUBLE CENTRALIZERS AND CUBIC MULTIPLIERS
CUBIC DOUBLE CENTRALIZERS AND CUBIC MULTIPLIERS

A is said to be left ,centralizer, on A if L(ab) = L(a)b for all a;b 2 A. Similarly, a linear mapping R: A ! A that R(ab) = aR(b) for all a;b 2 A is called right ,centralizer, on A. A ,double centralizer, on A is a pair (L;R), where L is a left ,centralizer,, R is a right ,centralizer, and aL(b) = R(a)b for all a;b 2 A. For example, (Lc;Rc) is a ,double centralizer,, where Lc(a) := ca

Direct proof that the centralizer of $GL(V)$ acting on $V ...
Direct proof that the centralizer of $GL(V)$ acting on $V ...

The standard proof is to show that the ,centralizer, of $k[S_n]$ is spanned by $GL(V)$, and then apply the double ,centralizer theorem,. Although the double ,centralizer theorem, (at least, over $\mathbb{C}$) doesn't formally involve anything I won't be covering, I think it is pretty hard to present it to people who aren't extremely happy with the representation theory of semi-simple algebras.

On the Decisional Diffie-Hellman Problem in genus 2
On the Decisional Diffie-Hellman Problem in genus 2

a common ,key,, A computes (gb)a and B computes (ga)b. If the Computa-tional Diffie-Hellman Problem is hard, then an adversary with knowledge of g,ga,gb is not able to compute the shared ,key,. Other problems in the Diffie-Hellman family arise due to the rich struc-ture of divisor class groups G. Notably, in such groups there exists an

MOSCOW MATHEMATICAL JOURNAL
MOSCOW MATHEMATICAL JOURNAL

simplest situation is that of a “double ,centralizer Theorem,”. The ,key, results are Proposition 4.42 (deformation principle) and ,Theorem, 4.49 (unicity). Section 5 shows that category O for Cherednik algebras gives a cover of Hecke algebras of complex reflection groups, and that it …

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