Geodesic
Group of Isometries of the Lattice $K_0(\mathbb P_n)$
Matematičeskie zametki, Tome 115 (2024) no. 4, pp. 552-567 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the group of isometries of the Grothendieck group $K_0(\mathbb P_n)$ which is equipped with a bilinear asymmetric Euler form. We prove several properties of this group; in particular, we show that it is isomorphic to the direct product of $\mathbb Z/2\mathbb Z$ and the free Abelian group of rank $[(n+1)/2]$. We also explicitly calculate its generators for $n\leqslant 6$.
Keywords: projective space, coherent sheaf, Grothendieck group, isometry. 
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     title = {Group of {Isometries} of the {Lattice} $K_0(\mathbb P_n)$},
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I. S. Beldiev. Group of Isometries of the Lattice $K_0(\mathbb P_n)$. Matematičeskie zametki, Tome 115 (2024) no. 4, pp. 552-567. http://geodesic.mathdoc.fr/item/MZM_2024_115_4_a5/

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