@article{Nicklasson_2021, title={Subalgebras generated in degree two with minimal Hilbert function}, volume={127}, url={https://www.mscand.dk/article/view/122603}, DOI={10.7146/math.scand.a-122603}, abstractNote={<p>What can be said about the subalgebras of the polynomial ring, with minimal or maximal Hilbert function? This question was discussed in a recent paper by M.&nbsp;Boij and A.&nbsp;Conca. In this paper we study the subalgebras generated in degree two with minimal Hilbert function. The problem to determine the generators of these algebras transfers into a combinatorial problem on counting maximal north-east lattice paths inside a shifted Ferrers diagram. We conjecture that the subalgebras generated in degree two with minimal Hilbert function are generated by an initial Lex or RevLex segment.</p>}, number={1}, journal={MATHEMATICA SCANDINAVICA}, author={Nicklasson, Lisa}, year={2021}, month={Feb.}, pages={5–27} }