منابع مشابه
Hecke Algebras and Cohomotopical Mackey Functors
In this paper, we define the concept of the cohomotopical Mackey functor, which is more general than the usual cohomological Mackey functor, and show that Hecke algebra techniques are applicable to cohomotopical Mackey functors. Our theory is valid for any (possibly infinite) discrete group. Some applications to topology are also given.
متن کاملOn the Cartan matrix of Mackey algebras
Let k be a field of characteristic p > 0, and G be a finite group. The first result of this paper is an explicit formula for the determinant of the Cartan matrix of the Mackey algebra μk(G) of G over k. The second one is a formula for the rank of the Cartan matrix of the cohomological Mackey algebra coμk(G) of G over k, and a characterization of the groups G for which this matrix is non singula...
متن کاملC * - algebras and Mackey ' s theory of group representations
The subjects of C*-algebras and of unitary representations of locally compact groups are both approximately 50 years old. While it was known from the start that these subjects are related, it was noL originally appreciated just how close the relationship is, especially in the case of Mackey's theory of induced representations and of representations of group extensions. U G is a (locally compact...
متن کامل1 Introduction Q-algebras
where 1 denotes the universal relation on the base set. These Q-operations have a geometrical origin, but in [Jónsson 1991] Jónsson discusses them only in a context where he compares the expressive power of various clones of operations on binary relations. For instance, the operation defined in the picture above does not belong to the Tarski clone; that is, Q cannot be defined by using the bool...
متن کاملGRADED q-SCHUR ALGEBRAS
Generalizing recent work of Brundan and Kleshchev, we introduce grading on Dipper-James’ q-Schur algebra, and prove a graded analogue of the Leclerc and Thibon’s conjecture on the decomposition numbers of the q-Schur algebra.
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: Proceedings of the Estonian Academy of Sciences
سال: 2017
ISSN: 1736-6046
DOI: 10.3176/proc.2017.1.05