✦ LIBER ✦

Classification of Irreducible Modules for the Vertex Operator AlgebraM(1) + 

✍ Scribed by Chongying Dong; Kiyokazu Nagatomo

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 146 KB
Volume: 216
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7784

No coin nor oath required. For personal study only.

✦ Synopsis

We classify the irreducible modules for the fixed point vertex operator subalgebra of the vertex operator algebra associated to the Heisenberg algebra with central charge 1 under the y1 automorphism.

📜 SIMILAR VOLUMES

Classification of Irreducible Modules fo

Classification of Irreducible Modules for the Vertex Operator Algebra M(1)+ : II. Higher Rank

✍ Chongying Dong; Kiyokazu Nagatomo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 260 KB

The vertex operator algebra M 1 + is the fixed point set of free bosonic vertex operator algebra M 1 of rank l under the -1 automorphism. All irreducible modules for M 1 + are classified in this paper for any l.

Gröbner–Shirshov Bases for Irreducible s

Gröbner–Shirshov Bases for Irreducible sln + 1-Modules

✍ Seok-Jin Kang; Kyu-Hwan Lee 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 169 KB

We determine the Gröbner-Shirshov bases for finite-dimensional irreducible representations of the special linear Lie algebra sl n+1 and construct explicit monomial bases for these representations. We also show that each of these monomial bases is in 1-1 correspondence with the set of semistandard Yo

Rado Numbers for the Equation ∑i =&

Rado Numbers for the Equation ∑i = 1m − 1 xi + c = xm, for Negative Values of c

✍ Wojciech Kosek; Daniel Schaal 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 90 KB

For every integer m ≥ 3 and every integer c, let r m c be the least integer, if it exists, such that for every 2-coloring of the set 1 2 r m c there exists a monochromatic solution to the equation The values of r m c were previously known for all values of m and all nonnegative values of c. In this

A Classification of Unitary Highest Weig

A Classification of Unitary Highest Weight Modules of the Quantum Analogue of the Symmetric Pair (An, An − 1)

✍ Valentina Guizzi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 341 KB

We study the irreducibility and unitarity of highest weight modules of the Ž . quantized enveloping algebra associated to ᒐ ᒒ n, 1 . We obtain a classification of w x these modules analogous to that of EHW in the classical context. We also Ž Ž .. compute all commutation relations between root vector

Vertex Representations for the ν +&

Vertex Representations for the ν + 1-Toroidal Lie Algebra of Type Bl

✍ Jiang Cuipo; Meng Daoji 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 239 KB

We give vertex operator constructions for the toroidal Lie algebra of type B l ν ≥ 1 l ≥ 2 . We prove that the subquotients of the modules are completely reducible, and give the irreducible decomposition.

Near critical measurements of HmEandVmE

Near critical measurements of HmEandVmE for { xCO2 +  (1  −  x)SF6} and measurements made over the pressure range 2.5 to 10.0 MPa at the temperature T =  301.95 K

✍ C.J. Wormald; R.W. Hodgetts 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 347 KB

A flow mixing calorimeter, followed by a vibrating tube densimeter, has been used to measure excess molar enthalpies H E m and excess molar volumes V E m of {xCO 2 + (1 -x)SF 6 }. Measurements over a range of mole fraction x have been made at the temperatures T = 302.15 K and T = 305.65 K at the pre

Classification of Irreducible Modules for the Vertex Operator AlgebraM(1)&#xa0;+&#xa0;

✦ Synopsis

Classification of Irreducible Modules for the Vertex Operator AlgebraM(1) +