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Isotypic component information


The isotypic component of weight of a Lie algebra module is the sum of all submodules which are isomorphic to the highest weight module with weight .

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Isotypic component

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The isotypic component of weight λ {\displaystyle \lambda } of a Lie algebra module is the sum of all submodules which are isomorphic to the highest weight...

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Semisimple representation

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unique, called the isotypic decomposition of the representation. By definition, given a simple representation S, the isotypic component of type S of a representation...

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Superselection

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the direct sum of irreducible unitary representations of O. Each isotypic component in this decomposition is called a superselection sector. Observables...

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Representation theory of finite groups

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representation ( τ , V τ ) {\displaystyle (\tau ,V_{\tau })} the isotype or isotypic component in ρ {\displaystyle \rho } to be the subspace V ρ ( τ ) = ∑ V τ ≅...

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Representation on coordinate rings

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{\displaystyle V^{\lambda }} ; it is called the λ {\displaystyle \lambda } -isotypic component of k [ X ] {\displaystyle k[X]} . Then there is a direct sum decomposition:...

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Glossary of representation theory

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the isotypic component of A of trivial type. 2.  The isotypic decomposition of a semisimple representation is the decomposition into the isotypic components...

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Complement component 4

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30 produces the C4d fragment (where the thioester, Ch/Rg antigens, and isotypic residues are located); moreover, most of the polymorphic sites cluster...

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Hecke algebra of a finite group

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action of H on V preserves W ~ {\displaystyle {\tilde {W}}} – the isotypic component of W {\displaystyle W} – and commutes with W {\displaystyle W} as...

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Reflection theorem

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ideal class groups (or ray class groups), or the sizes of different isotypic components of a class group. The original example is due to Ernst Eduard Kummer...

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Symmetric algebra

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fact, the symmetric algebra and the exterior algebra appear as the isotypical components of the trivial and sign representation of the action of S n {\displaystyle...

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Tungsten disulfide

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is a component of certain catalysts used for hydrodesulfurization and hydrodenitrification. WS2 adopts a layered structure similar, or isotypic with MoS2...

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Complement receptor 2

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KR, Ahearn JM, Fearon DT (1991). "Interaction of iC3b with recombinant isotypic and chimeric forms of CR2". J. Immunol. 147 (2): 590–4. doi:10.4049/jimmunol...

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Praseodymium hexaboride

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space group Pm3m, cell parameters a = 0.4129 nm, Z = 1, and structure isotypical with calcium hexaboride. The compound melts congruently at 2610 °C. At...

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Curium

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double-hexagonal close packing with the layer sequence ABAC and so is isotypic with α-lanthanum. At pressure >23 GPa, at room temperature, α-Cm becomes...

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Leonite

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300 AD in China. This was likely to be a liquid colloid of gold. Leonite is isotypic with the mineral mereiterite (K2Fe(SO4)2·4H2O), and with artificial Mn-leonite...

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LILRB4

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Torkar M, Norgate Z, Colonna M, Trowsdale J, Wilson MJ (December 1998). "Isotypic variation of novel immunoglobulin-like transcript/killer cell inhibitory...

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Axon guidance

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MY; Chien, CB (2008). "Pathfinding in a large vertebrate axon tract: Isotypic interactions guide retinotectal axons at multiple choice points". Development...

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TUBA4A

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Luduena RF (Jan 1994). "In vitro analysis of microtubule assembly of isotypically pure tubulin dimers. Intrinsic differences in the assembly properties...

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Einsteinium

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as a result of self-irradiation or self-heating. The hexagonal phase is isotypic with lanthanum oxide where the Es3+ ion is surrounded by a 6-coordinated...

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Fumarole mineral

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"Cryptochalcite, K2Cu5O(SO4)5, and cesiodymite, CsKCu5O(SO4)5, two new isotypic minerals and the K–Cs isomorphism in this solid-solution series". European...

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Selenophosphate

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Lange, Pia L.; Schleid, Thomas (2020-11-26). "Three of a kind? The non-isotypic triple CsCe[P 2 Se 6 ], CsSm[P 2 Se 6 ] and CsEr[P 2 Se 6 ]". Zeitschrift...

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IFI16

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27.17172. PMID 9642285. Johnstone RW, Kershaw MH, Trapani JA (1998). "Isotypic variants of the interferon-inducible transcriptional repressor IFI 16 arise...

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