https://wiki.devclub.in/index.php?action=history&feed=atom&title=MTL739 2026-04-09T06:03:28Z Revision history for this page on the wiki MediaWiki 1.45.1 https://wiki.devclub.in/index.php?title=MTL739&diff=1638&oldid=prev 2026-03-04T10:14:40Z

<p>Creating course page via bot</p> <p><b>New page</b></p><div>{{Infobox Course<br /> | code = MTL739<br /> | name = Representation of Finite Groups<br /> | credits = 3<br /> | credit_structure = 3-0-0<br /> | pre_requisites = MTL105/MTL501<br /> | overlaps = <br /> }}<br /> <br /> == MTL739 : Representation of Finite Groups ==<br /> Revision of basic group theory. Definition and examples of representation. Subrepresentation, sum and tensor product of represenations, irreducible representations; Character Theory: Character of a representation, Schur&#039;s Lemma, Maschke&#039;s theorem, Orthogonality relations for characters, decomposition of regular representation, number of irreducible representations of a group; Representation of subgroups and product of groups, induced representations; Group Algebra: Representations and modules; Decomposition of complex algebra C[G] and Integrability properties of characters. Induced representations, restriction to subgroups, Reciprocity formula, Mackey&#039;s irreducibility criterion; Irreducible representations of symmertric groups (S_n) and alternating groups (A_n).</div>

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