Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385837860> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4385837860 abstract "Abstract We provide identities of inverse Chevalley type for the graded characters of level-zero Demazure submodules of extremal weight modules over a quantum affine algebra of type C . These identities express the product $$e^{mu } text {gch} ~V_{x}^{-}(lambda )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msup> <mml:mi>e</mml:mi> <mml:mi>μ</mml:mi> </mml:msup> <mml:mtext>gch</mml:mtext> <mml:mspace /> <mml:msubsup> <mml:mi>V</mml:mi> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> <mml:mo>-</mml:mo> </mml:msubsup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>λ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> of the (one-dimensional) character $$e^{mu }$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>e</mml:mi> <mml:mi>μ</mml:mi> </mml:msup> </mml:math> , where $$mu $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>μ</mml:mi> </mml:math> is a (not necessarily dominant) minuscule weight, with the graded character gch $$V_{x}^{-}(lambda )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msubsup> <mml:mi>V</mml:mi> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> <mml:mo>-</mml:mo> </mml:msubsup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>λ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> of the level-zero Demazure submodule $$V_{x}^{-}(lambda )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msubsup> <mml:mi>V</mml:mi> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> <mml:mo>-</mml:mo> </mml:msubsup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>λ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> over the quantum affine algebra $$U_{textsf{q}}(mathfrak {g}_{textrm{af}})$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>U</mml:mi> <mml:mi>q</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>g</mml:mi> <mml:mtext>af</mml:mtext> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> as an explicit finite linear combination of the graded characters of level-zero Demazure submodules. These identities immediately imply the corresponding inverse Chevalley formulas for the torus-equivariant K -group of the semi-infinite flag manifold $$textbf{Q}_{G}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>Q</mml:mi> <mml:mi>G</mml:mi> </mml:msub> </mml:math> associated to a connected, simply-connected and simple algebraic group G of type C . Also, we derive cancellation-free identities from the identities above of inverse Chevalley type in the case that $$mu $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>μ</mml:mi> </mml:math> is a standard basis element $${varepsilon }_{k}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>ε</mml:mi> <mml:mi>k</mml:mi> </mml:msub> </mml:math> in the weight lattice P of G ." @default.
- W4385837860 created "2023-08-16" @default.
- W4385837860 creator A5021889513 @default.
- W4385837860 creator A5032570626 @default.
- W4385837860 creator A5066349727 @default.
- W4385837860 date "2023-08-15" @default.
- W4385837860 modified "2023-10-15" @default.
- W4385837860 title "Identities of Inverse Chevalley Type for the Graded Characters of Level-Zero Demazure Submodules over Quantum Affine Algebras of Type C" @default.
- W4385837860 cites W1642629289 @default.
- W4385837860 cites W1765693725 @default.
- W4385837860 cites W1830446959 @default.
- W4385837860 cites W1980667199 @default.
- W4385837860 cites W2017253689 @default.
- W4385837860 cites W2074483321 @default.
- W4385837860 cites W2999568849 @default.
- W4385837860 cites W3046801362 @default.
- W4385837860 cites W3172528150 @default.
- W4385837860 cites W3179927852 @default.
- W4385837860 cites W3181047887 @default.
- W4385837860 cites W3210383251 @default.
- W4385837860 doi "https://doi.org/10.1007/s10468-023-10221-1" @default.
- W4385837860 hasPublicationYear "2023" @default.
- W4385837860 type Work @default.
- W4385837860 citedByCount "0" @default.
- W4385837860 crossrefType "journal-article" @default.
- W4385837860 hasAuthorship W4385837860A5021889513 @default.
- W4385837860 hasAuthorship W4385837860A5032570626 @default.
- W4385837860 hasAuthorship W4385837860A5066349727 @default.
- W4385837860 hasBestOaLocation W43858378601 @default.
- W4385837860 hasConcept C11413529 @default.
- W4385837860 hasConcept C154945302 @default.
- W4385837860 hasConcept C33923547 @default.
- W4385837860 hasConcept C41008148 @default.
- W4385837860 hasConceptScore W4385837860C11413529 @default.
- W4385837860 hasConceptScore W4385837860C154945302 @default.
- W4385837860 hasConceptScore W4385837860C33923547 @default.
- W4385837860 hasConceptScore W4385837860C41008148 @default.
- W4385837860 hasFunder F4320306164 @default.
- W4385837860 hasFunder F4320334764 @default.
- W4385837860 hasLocation W43858378601 @default.
- W4385837860 hasOpenAccess W4385837860 @default.
- W4385837860 hasPrimaryLocation W43858378601 @default.
- W4385837860 hasRelatedWork W2051487156 @default.
- W4385837860 hasRelatedWork W2052122378 @default.
- W4385837860 hasRelatedWork W2053286651 @default.
- W4385837860 hasRelatedWork W2073681303 @default.
- W4385837860 hasRelatedWork W2317200988 @default.
- W4385837860 hasRelatedWork W2544423928 @default.
- W4385837860 hasRelatedWork W2947381795 @default.
- W4385837860 hasRelatedWork W2181413294 @default.
- W4385837860 hasRelatedWork W2181743346 @default.
- W4385837860 hasRelatedWork W2187401768 @default.
- W4385837860 isParatext "false" @default.
- W4385837860 isRetracted "false" @default.
- W4385837860 workType "article" @default.