Categorifications of the polynomial ring

• Autorzy: Mikhail Khovanov , Radmila Sazdanovic
• Języki publikacji: EN

Abstrakty

EN

We develop a diagrammatic categorification of the polynomial ring ℤ[x]. Our categorification satisfies a version of Bernstein-Gelfand-Gelfand reciprocity property with the indecomposable projective modules corresponding to xⁿ and standard modules to (x-1)ⁿ in the Grothendieck ring.

Kategorie tematyczne

• 16S99: None of the above, but in this section
• 18G10: Resolutions; derived functors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 230
• Numer: 3
• Strony: 251-280

Daty

wydano

2015

Twórcy

autor

Mikhail Khovanov

• Department of Mathematics, Columbia University, 2990 Broadway, 509 Mathematics Building, Mail Code: 4406, New York, NY 10027, U.S.A.

autor

Radmila Sazdanovic

• Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC 27695, U.S.A.

Identyfikatory

DOI

10.4064/fm230-3-3