Proceedings from a virtual AMS Special Session delve into recent advances in Macdonald polynomials and their intricate combinatorial structures. Discussions span both type A and arbitrary types, unveiling new formulas connected to integrable systems...Loe edasi...
In their preface, the editors describe algebraic combinatorics as the area of combinatorics concerned with exact, as opposed to approximate, results and which puts emphasis on interaction with other areas of mathematics, such as algebra, topology, g...Loe edasi...
This volume contains the proceedings of the AMS Special Session on Combinatorial and Geometric Representation Theory, held virtually on November 20-21, 2021. The articles offer an engaging look into recent advancements in geometric representation th...Loe edasi...
(Ilmumisaeg: 08-Jun-2024, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031503405)
This book is devoted to combinatorial aspects of the theory of symmetric functions. This rich, interesting and highly nontrivial part of algebraic combinatorics has numerous applications to algebraic geometry, topology, representation theory and o...Loe edasi...
(Ilmumisaeg: 22-May-2023, Hardback, Kirjastus: De Gruyter, ISBN-13: 9783110703184)
This book is the second edition of the first complete study and monograph dedicated to singular traces. The first volume offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properti...Loe edasi...
This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in ex...Loe edasi...
Steven Lord, Edward McDonald, Fedor Sukochev, Dmitriy Zanin
Sari: De Gruyter Studies in Mathematics
(Ilmumisaeg: 03-Apr-2023, Hardback, Kirjastus: De Gruyter, ISBN-13: 9783110700008)
This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral ze...Loe edasi...
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extending to the decorated case the main results of both Haglund (A proof of the Schroder conjecture, 2004) and Aval et al. (Statistics on parallelogram...Loe edasi...
Albin, Rochon, and Sher study the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. They obtain precise asymptotics for the resolvent, the heat kernel...Loe edasi...
We describe a method, based on the theory of Macdonald-Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternative to Macdonalds partial fraction technique and results in the first examples of bounded Li...Loe edasi...
(Ilmumisaeg: 19-Jul-2021, Hardback, Kirjastus: De Gruyter, ISBN-13: 9783110377798)
This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on id...Loe edasi...
Egges goal is to make the theory of symmetric functions more accessible to undergraduate students, taking a combinatorial approach wherever feasible, and showing both the core of the subject and some of the areas that are active today. He assume...Loe edasi...
This work offers detailed coverage of every important aspect of symmetric structures in function of a single real variable, providing a historical perspective, proofs and useful methods for addressing problems. It provides assistance for real analysi...Loe edasi...
(Ilmumisaeg: 14-Mar-2019, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9780521830478)
Symmetrization is a rich area of mathematical analysis whose history reaches back to antiquity. This book presents many aspects of the theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, s...Loe edasi...
(Ilmumisaeg: 04-Dec-2015, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783319236179)
This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics. It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included through...Loe edasi...
This reissued classic text is the acclaimed second edition of Professor Ian Macdonalds groundbreaking monograph on symmetric functions and Hall polynomials.The first edition was published in 1979, before being significantly expanded into the...Loe edasi...
(Ilmumisaeg: 05-Feb-2015, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781107082052)
This book discusses representation theory of symmetric groups, theory of symmetric functions and polynomial representation theory of general linear groups....Loe edasi...
(Ilmumisaeg: 13-Dec-2012, Hardback, Kirjastus: De Gruyter, ISBN-13: 9783110262506)
Mathematicians Lord (U. of Adelaide), Suckochev, and Zanin (both U. of New South Wales) concentrate on the functional analysis side of singular traces, an area they feel is heading toward some early form of maturity in the emerging field. They find t...Loe edasi...
In an earlier paper, Aaron D. Lauda constructed a categorification of the Beilinson-Lusztig-MacPherson form of the quantum sl(2); here he, Khovanov, Marco Mackaay, and Marko Stosic enhance the graphical calculus he introduced to include two-morphisms...Loe edasi...
