Valence bond approach and Verma bases

DOI10.1007/S10910-018-0876-7zbMath1393.81037OpenAlexW2788898302MaRDI QIDQ1649160

Josep Planelles, Josef Paldus

Publication date: 5 July 2018

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/174634

zbMATH Keywords

unitary group approach (UGA)\(\pi \)-electron modelcanonical versus non-canonical VB structurescovalent and ionic VB structuresvalence bond (VB) methodVerma bases

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Unitary representations of locally compact groups (22D10) Chains and lattices of subgroups, subnormal subgroups (20E15) Clifford algebras, spinors (15A66) Molecular physics (81V55) Applications of group representations to physics and other areas of science (20C35) Chemistry (general) in thermodynamics and heat transfer (80A50)

Related Items (2)

Matrix elements of unitary group generators in many-fermion correlation problem. I: Tensorial approaches ⋮ Matrix elements of unitary group generators in many-fermion correlation problem. III. Green-Gould approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Handbook of algebra. Volume 4
• Gröbner-Shirshov bases for irreducible \(sl_{n+1}\)-modules
• Multispinor basis for representations of SO(N)
• Verma bases for representations of classical simple Lie algebras
• The evaluation of U(2n) matrix elements in Weyl-basis tableaux adapted to U(2) × U(n)
• On the matrix elements of the U(n) generators
• Spinor group and its restrictions
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• Structure of certain induced representations of complex semisimple Lie algebras
• Lie groups beyond an introduction

This page was built for publication: Valence bond approach and Verma bases