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 ${\displaystyle \mathbb {C} _{\text{par}}(\mathbb {Z} _{4})}$ is isomorphic to the direct sum:^[1]

  ${\displaystyle \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathrm {M} _{2}\mathbb {C} \oplus \mathrm {M} _{3}\mathbb {C} }$

See also

• Group ring
• Group representation