Partial group algebra explained

In mathematics, a partial group algebra is an associative algebra related to the partial representations of a group.

Examples

• The partial group algebra

C _{par} ( Z _{4)} is isomorphic to the direct sum:^[1] C ⊕ C ⊕ C ⊕ C ⊕ C ⊕ C ⊕ C ⊕ M _{2} C ⊕ M _{3} C

See also

• Group ring
• Group representation

Notes

1. R. Exel (1998)

References

• Ruy . Exel . Partial Actions of Groups and Actions of Inverse Semigroups . Proceedings of the American Mathematical Society . 126 . 12 . 1998 . 3481-3494 . 10.1090/S0002-9939-98-04575-4. free .