The homotopy types of PU(3)– and PSp(2)–gauge groups

Autor:	Akira Kono, Takashi Sato, Sho Hasui, Daisuke Kishimoto
Rok vydání:	2016
Předmět:	Homotopy Simple Lie group 010102 general mathematics Gauge (firearms) 01 natural sciences Prime (order theory) 010305 fluids & plasmas Combinatorics Integer Gauge group 0103 physical sciences Geometry and Topology 0101 mathematics Mathematics
Zdroj:	Algebraic & Geometric Topology. 16:1813-1825
ISSN:	1472-2739 1472-2747
DOI:	10.2140/agt.2016.16.1813
Popis:	Let G be a compact connected simple Lie group. Any principal G–bundle over S4 is classified by an integer k ∈ ℤ≅π3(G), and we denote the corresponding gauge group by Gk(G). We prove that Gk(PU(3)) ≃Gl(PU(3)) if and only if (24,k) = (24,l), and Gk(PSp(2)) ≃(p)Gl(PSp(2)) for any prime p if and only if (40,k) = (40,l), where (m,n) is the gcd of integers m,n.
Databáze:	OpenAIRE
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