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991.
In this paper we generalize Ramanujan's Master Theorem to the context of a Siegel domain of Type II, which is the Hermitian symmetric space of a real non-compact semisimple Lie group of finite center. That is, the spherical transform of a spherical series can be expressed in terms of the coefficients of this series. 相似文献
992.
设R是有1的交换环,2是R的单位.本文决定了R上李代数sl2(R)的理想.进而,若R是整环,本文决定了sl2(R)与gl2(R)的自同构形式. 相似文献
993.
Mirko Primc 《Acta Appl Math》2002,73(1-2):221-238
In the 1980's, J. Lepowsky and R. Wilson gave a Lie-theoretic interpretation of Rogers–Ramanujan identities in terms of level 3 representations of affine Lie algebra sl(2,C)~. When applied to other representations and affine Lie algebras, Lepowsky and Wilson's approach yielded a series of other combinatorial identities of the Rogers–Ramanujan type. At about the same time, R. Baxter rediscovered Rogers–Ramanujan identities within the context of statistical mechanics. The work of R. Baxter initiated another line of research which yielded numerous combinatorial and analytic generalizations of Rogers–Ramanujan identities. In this note, we describe some ideas and results related to Lepowsky and Wilson's approach and indicate the connections with some results in combinatorics and statistical physics. 相似文献
994.
Volodymyr Lyubashenko 《Applied Categorical Structures》2002,10(4):331-381
We discuss an example of a triangulated Hopf category related to SL(2). It is an equivariant derived category equipped with multiplication and comultiplication functors and structure isomorphisms. We prove some coherence equations for structure isomorphisms. In particular, the Hopf category is monoidal. 相似文献
995.
Split preorders are preordering relations on a domain whose composition is defined in a particular way by splitting the domain into two disjoint subsets. These relations and the associated composition arise in categorial proof theory in connection with coherence theorems. Here split preorders are represented isomorphically in the category whose arrows are binary relations and whose composition is defined in the usual way. This representation is related to a classical result of representation theory due to Richard Brauer. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
996.
Lieven Bruyn 《K-Theory》1994,8(1):3-17
Three-dimensional Sklyanin algebras are a new class of possible counterexamples to the cyclicity problem. In this note, we collect a few observations concerning this problem. 相似文献
997.
S. P. Smith 《K-Theory》1994,8(1):65-80
The four-dimensional Sklyanin algebras are certain noncommutative graded algebras having the same Hilbert series as the polynomial ring on four indeterminates. Their structure and representation theory is intimately connected with the geometry of an elliptic curve (and a fixed translation) embedded in 3. This is an account of the work done on these algebras over the past four years.Supported by NSF grant DMS-9100316. 相似文献
998.
We consider the distribution of the first sum of a sequence of positive integer valued iid random variables which is divisible byd. This is known to converge, when divided byd, to a geometric distribution asd. We obtain results on the rate of convergence using two contrasting approaches. In the first, Stein's method is adapted to geometric limit distributions. The second method is based on the theory of Banach algebras. Each method is shown to have its merits. 相似文献
999.
Mikael R?rdam 《K-Theory》1995,9(1):31-58
A classification is given of the simple Cuntz-Krieger algebras
. It is proved that these algebras are classified up to stable isomorphism by their K0-group. Thus the sign of the determinant of 1 —A is not an isomorphism invariant. The (non-stabilized) isomorphism type of
is determined by K0(
) together with the position of the class of the unit of
. 相似文献
1000.
Bebe Prunaru 《Proceedings of the American Mathematical Society》1996,124(11):3411-3412
Let be a pure hyponormal operator with compact self-commutator. We show that the unit ball of the commutant of is compact in the strong operator topology.