On R-Matrix Quantization of Formal Loop Groups
- 31 October 2024
- book chapter
- Published by Taylor & Francis
- p. 161-180
- https://doi.org/10.1201/9781003580850-12
Abstract
1. The general plan of quantization. We choose a basis {Ia} in the associative algebra MN of NxN - matrices with unit Io and for any X∈ MN define Xα ∈ C from the expansion https://www.w3.org/1998/Math/MathML">X=∑αXαIαhttps://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003580850/bb55042e-b3d5-49ec-ad90-41548dc5300a/content/p161-1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> in terms of Iα https://www.w3.org/1998/Math/MathML">1Iα=Iα⊕Io⊕...⊕Io,2Iα=Io⊕Iα⊕Io⊕...⊕Io,etc.,ijX=∑α,βxαβ iIαjIβforX=∑α,βxαβIα⊕Iβ∈∈MN⊕MN https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003580850/bb55042e-b3d5-49ec-ad90-41548dc5300a/content/dmath_p161-1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>This publication has 0 references indexed in Scilit: