✦ LIBER ✦

The Structure of the Young Symmetrizers for Spin Representations of the Symmetric Group, I

✍ Scribed by Andrew R. Jones

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 355 KB
Volume: 205
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7400

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is the first in a series of three papers on the Young symmetrizers for the spin representations of the symmetric group. In this opening paper, it is shown that the projective analogue of the Young symmetrizer recently introduced by Nazarov has a structure resembling the p λ q λ -form exhibited by the classical symmetrizer. In contrast to the classical case, our decomposition of the projective symmetrizer requires an additional intermediate factor x λ . This factor will be studied in greater detail in the later papers.

📜 SIMILAR VOLUMES

The Structure of the Young Symmetrizers

The Structure of the Young Symmetrizers for Spin Representations of the Symmetric Group, II

✍ Andrew R Jones 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 156 KB

The first paper in this series established that the projective analogue of the Young symmetrizer recently introduced by Nazarov has a natural PxQ-structure comparable with the pq-form of the classical symmetrizer. This second paper develops the theory on this decomposition further. A more efficient

Fibonacci Representations of the Symmetr

Fibonacci Representations of the Symmetrical Groups

✍ A.J.E. Ryba 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 340 KB

Characters of two-row representations of

Characters of two-row representations of the symmetric group

✍ Brian G. Wybourne; Norbert Flocke; Jacek Karwowski 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 124 KB 👁 1 views

Characters of irreducible representations irreps of the symmetric group corresponding to the two-row Young diagrams, i.e., describing transformation properties of N-electron eigenfunctions of the total spin operators, have been expressed as explicit functions of the number of electrons N and of the

Representations of the symmetric group g

Representations of the symmetric group generated by projected spin functions: A graphical approach

✍ Sten Rettrup; Ruben Pauncz 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 507 KB

The representation matrices generated by the projected spin functions have some very interesting properties. All the matrix elements are integers and they are quite sparse. A very efficient algorithm is presented for the calculation of these representation matrices based on a graphical approach and

Connections between the Representations

Connections between the Representations of the Symmetric Group and the Symplectic Group in Characteristic 2

✍ Roderick Gow; Alexander Kleshchev 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 199 KB

The Structure of Some Permutation Module

The Structure of Some Permutation Modules for the Symmetric Group of Infinite Degree

✍ Darren G.D. Gray 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 301 KB

Suppose that ⍀ is an infinite set and k is a natural number. Let ⍀ denote the set of all k-subsets of ⍀ and let F be a field. In this paper we study the Ž . w x k FSym ⍀ -submodule structure of the permutation module F ⍀ . Using the representation theory of finite symmetric groups, we show that ever