Geodesic
Categorifications of the polynomial ring
Mikhail Khovanov 1   ; Radmila Sazdanovic 2
1 Department of Mathematics Columbia University 2990 Broadway 509 Mathematics Building Mail Code: 4406 New York, NY 10027, U.S.A.
2 Department of Mathematics North Carolina State University Box 8205, Raleigh, NC 27695, U.S.A.
Fundamenta Mathematicae, Tome 230 (2015) no. 3, pp. 251-280 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We develop a diagrammatic categorification of the polynomial ring ${\mathbb {Z}}[x]$. Our categorification satisfies a version of Bernstein–Gelfand–Gelfand reciprocity property with the indecomposable projective modules corresponding to $x^n$ and standard modules to $(x-1)^n$ in the Grothendieck ring.
DOI : 10.4064/fm230-3-3
Keywords: develop diagrammatic categorification polynomial ring mathbb categorification satisfies version bernstein gelfand gelfand reciprocity property indecomposable projective modules corresponding standard modules x grothendieck ring

Mikhail Khovanov  1   ; Radmila Sazdanovic  2

1 Department of Mathematics Columbia University 2990 Broadway 509 Mathematics Building Mail Code: 4406 New York, NY 10027, U.S.A.
2 Department of Mathematics North Carolina State University Box 8205, Raleigh, NC 27695, U.S.A. 
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Mikhail Khovanov; Radmila Sazdanovic. Categorifications of the polynomial ring. Fundamenta Mathematicae, Tome 230 (2015) no. 3, pp. 251-280. doi: 10.4064/fm230-3-3

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