J 2021

A note on some new hook-content identities

SEDLÁK, Michal and Alessandro BISIO

Basic information

Original name

A note on some new hook-content identities

Authors

SEDLÁK, Michal (703 Slovakia, guarantor, belonging to the institution) and Alessandro BISIO

Edition

Journal of Algebraic Combinatorics, 2021, 0925-9899

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10201 Computer sciences, information science, bioinformatics

Country of publisher

Netherlands

Confidentiality degree

is not subject to a state or trade secret

References:

Impact factor

Impact factor: 0.963

RIV identification code

RIV/00216224:14330/21:00118949

Organization unit

Faculty of Informatics

UT WoS

000526217000001

EID Scopus

2-s2.0-85083799627

Keywords in English

Hook-content formula; Schur-Weyl duality; Symmetric group; Representation theory

Tags

International impact, Reviewed
Changed: 5/11/2021 14:58, RNDr. Pavel Šmerk, Ph.D.

Abstract

In the original language

Based on the work of Vershik (J Sov Math 59(5):1029-1040, 1992), we introduce two new combinatorial identities. We show how these identities can be used to prove a new hook-content identity. The main motivation for deriving this identity was a particular optimization problem in the field of quantum information processing.

Links

GA16-22211S, research and development project
Name: Rényiho entropie v kvantovém zpracování informace
Investor: Czech Science Foundation