Communications in Algebra· 2026Q2
Clifford-Fischer theory on an affine subgroup of GO(5,3)
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- 2026year
Short summary
This paper applies Clifford-Fischer Theory to an affine subgroup G―=33:GO(3,3) of GO(5,3) to compute its Fischer matrices and construct its character table.
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Key points
- Clifford-Fischer Theory is applied to the affine subgroup G―=33:GO(3,3) of GO(5,3).
- The subgroup G― is identified as a maximal subgroup of O(5,3):2.
- Fischer matrices for G― were computed.
- The character table of G― was constructed based on the computed Fischer matrices.
AI-generated from the title and abstract; the full text is not read.
Abstract
In this paper we apply the Clifford-Fischer Theory to an affine subgroup G―=33:GO(3,3) of the general orthogonal group GO(5,3) to compute Fischer matrices of G― to ultimately construct a character table of G―. According to the ATLAS we have that GO(5,3) is isomorphic to 2×(O(5,3):2) where O(5,3) is the simple orthogonal group isomorphic to the simple symplectic group S4(3). The affine subgroup G― sits maximally in O(5,3):2. The affine subgroup of the full symplectic group Sp(4,3) is 33:S4. The subgroup G― sits maximally in Sp(4,3) containing the affine subgroup of Sp(4,3).
The authors' abstract, as published at the source. Communications in Algebra, 2026 · DOI ↗
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Field: Mathematical Physics
Mathematical PhysicsMathematics