KOSTANT PARTITION FUNCTION FOR sl4(C) AND sp6(C)

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Demystifying a Divisibility Property of the Kostant Partition Function

In this note we study a family of identities regarding divisibility properties of Kostant partition functions which first appeared in a paper of Baldoni and Vergne. To prove the identities, Baldoni and Vergne used techniques of residues and called the resulting divisibility properties “mysterious.” We prove these identities entirely combinatorially and provide a natural explanation of why the d...

متن کامل

Flow polytopes and the Kostant partition function for signed graphs ( extended abstract )

We establish the relationship between volumes of flow polytopes associated to signed graphs and the Kostant partition function. A special case of this relationship, namely, when the graphs are signless, has been studied in detail by Baldoni and Vergne using techniques of residues. In contrast with their approach, we provide combinatorial proofs inspired by the work of Postnikov and Stanley on f...

متن کامل

A q-analogue of the Kostant partition function and twisted representations

We discuss a family of representations of Lie groups related to quantization with respect to the Dirac signature operator. The combinatorics of these twisted representations is similar to that of the usual irreducible representations, but involve a specialization of a q-analogue of the Kostant partition function. In particular, we prove signature analogues of the Kostant formula for weight mult...

متن کامل

Signature quantization, representations of compact Lie groups, and a q-analogue of the Kostant partition function

We discuss some applications of signature quantization to the representation theory of compact Lie groups. In particular, we prove signature analogues of the Kostant formula for weight multiplicities and the Steinberg formula for tensor product multiplicities. Using symmetric functions, we also find, for type A, analogues of the Weyl branching rule and the Gelfand-Tsetlin theorem. These analogu...

متن کامل

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

15 صفحه اول

ذخیره 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: RMS: Research in Mathematics & Statistics

سال: 2021

ISSN: 2765-8449

DOI: 10.1080/27658449.2021.1894687