Partial group algebra

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

Examples

The partial group algebra $\mathbb {C} _{\text{par}}\left(\mathbb {Z} _{4}\right)$ is isomorphic to the direct sum:[1]
$\mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus M_{2}\left(\mathbb {C} \right)\oplus M_{3}\left(\mathbb {C} \right)$

gollark: Everything ever looks more obvious in hindsight.

gollark: Sounds like hindsight bias, maybe?!

gollark: Submit it to me instead.

gollark: This is the sort of thing which makes me really not like computers.

gollark: I may be forced to reflash the OS.

See also

Notes

R. Exel (1998)

References

Exel, Ruy (1998). "Partial Actions of Groups and Actions of Inverse Semigroups". Proceedings of the American Mathematical Society. 126 (12): 3481–3494. doi:10.1090/S0002-9939-98-04575-4.

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.