{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,17]],"date-time":"2024-04-17T06:40:45Z","timestamp":1713336045784},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2012,1,7]],"date-time":"2012-01-07T00:00:00Z","timestamp":1325894400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2013,7]]},"DOI":"10.1007\/s10623-011-9602-1","type":"journal-article","created":{"date-parts":[[2012,1,6]],"date-time":"2012-01-06T11:15:57Z","timestamp":1325848557000},"page":"229-258","source":"Crossref","is-referenced-by-count":0,"title":["On certain forms and quadrics related to symplectic dual polar spaces in characteristic 2"],"prefix":"10.1007","volume":"68","author":[{"given":"Ilaria","family":"Cardinali","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antonio","family":"Pasini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,1,7]]},"reference":[{"key":"9602_CR1","first-page":"6","volume":"41","author":"A.M. Adamovich","year":"1986","unstructured":"Adamovich A.M.: The submodule lattice of Weyl modules for symplectic groups with fundamental highest weights. Mosc. Univ. Math. Bull 41, 6\u20139 (1986)","journal-title":"Mosc. Univ. Math. Bull"},{"key":"9602_CR2","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1112\/S002460930000727X","volume":"32","author":"A.A. Baranov","year":"2000","unstructured":"Baranov A.A., Suprunenko I.D.: Branching rules for modular fundamental representations of symplectic groups. Bull. Lond. Math. Soc 32, 409\u2013420 (2000)","journal-title":"Bull. Lond. Math. Soc"},{"key":"9602_CR3","doi-asserted-by":"crossref","first-page":"1368","DOI":"10.1016\/j.ejc.2006.05.013","volume":"28","author":"R.J. Blok","year":"2007","unstructured":"Blok R.J.: The generating rank of the symplectic Grassmannians: hyperbolic and isotropic geometry. Eur. J. Combin 28, 1368\u20131394 (2007)","journal-title":"Eur. J. Combin"},{"issue":"1","key":"9602_CR4","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/s10801-010-0263-3","volume":"34","author":"R.J. Blok","year":"2011","unstructured":"Blok R.J.: Highest weight modules and polarized embeddings of shadow spaces. J. Algebr. Combin 34(1), 67\u2013113 (2011)","journal-title":"J. Algebr. Combin"},{"key":"9602_CR5","doi-asserted-by":"crossref","first-page":"468","DOI":"10.1016\/j.ejc.2008.04.001","volume":"30","author":"R.J. Blok","year":"2009","unstructured":"Blok R.J., Cardinali I., De Bruyn B.: On the nucleus of the Grassmann embedding of the symplectic dual polar space $${DSp(2n, \\mathbb {F})}$$ , char $${(\\mathbb {F})=2}$$ . Eur. J. Combin. 30, 468\u2013472 (2009)","journal-title":"Eur. J. Combin."},{"key":"9602_CR6","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1007\/s10801-008-0166-8","volume":"30","author":"R.J. Blok","year":"2009","unstructured":"Blok R.J., Cardinali I., De Bruyn B., Pasini A.: Polarized and homogeneous embeddings of dual polar spaces. J. Algebr. Combin. 30, 381\u2013399 (2009)","journal-title":"J. Algebr. Combin."},{"key":"9602_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.36045\/bbms\/1299766484","volume":"18","author":"R.J. Blok","year":"2011","unstructured":"Blok R.J., Cardinali I., Pasini A.: On natural representation of the symplectic group. Bull. Belg. Math. Soc. Simon Stevin 18, 1\u201329 (2011)","journal-title":"Bull. Belg. Math. Soc. Simon Stevin"},{"issue":"6","key":"9602_CR8","doi-asserted-by":"crossref","first-page":"1056","DOI":"10.1016\/j.jcta.2007.09.004","volume":"115","author":"I. Cardinali","year":"2008","unstructured":"Cardinali I., Lunardon G.: A geometric description of the spin-embedding of symplectic dual polar spaces of rank 3. J. Combin. Theory A 115(6), 1056\u20131064 (2008)","journal-title":"J. Combin. Theory A"},{"key":"9602_CR9","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1007\/s10801-006-0013-8","volume":"25","author":"I. Cardinali","year":"2007","unstructured":"Cardinali I., De Bruyn B., Pasini A.: Minimal full polarized embeddings of dual polar spaces. J. Algebr. Combin. 25, 7\u201323 (2007)","journal-title":"J. Algebr. Combin."},{"key":"9602_CR10","unstructured":"Cardinali I., Pasini A.: On Weyl modules for the symplectic group. Innov. Incid. Geom. (to appear)."},{"key":"9602_CR11","doi-asserted-by":"crossref","unstructured":"Cardinali I., Pasini A.: Two forms related to the symplectic dual polar space in odd characteristic. Des. Codes Cryptogr. doi: 10.1007\/s10623-011-9545-6","DOI":"10.1007\/s10623-011-9545-6"},{"key":"9602_CR12","unstructured":"Cardinali I., Pasini A.: On a series of submodules for the symplectic group in characteristic 2 (submitted)."},{"key":"9602_CR13","volume-title":"Atlas of Finite Groups","author":"J.H. Conway","year":"1985","unstructured":"Conway J.H., Curtis R.T., Norton S.P., Parker R.A., Wilson R.A.: Atlas of Finite Groups. Clarendon, Oxford (1985)"},{"key":"9602_CR14","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1016\/j.jalgebra.2010.03.033","volume":"324","author":"B. De Bruyn","year":"2010","unstructured":"De Bruyn B.: On the Grassmann modules for the symplectic groups. J. Algebr 324, 218\u2013230 (2010)","journal-title":"J. Algebr"},{"key":"9602_CR15","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780199219858.001.0001","volume-title":"An Introduction to the Theory of Numbers","author":"G.H. Hardy","year":"2008","unstructured":"Hardy G.H., Wright E.M.: An Introduction to the Theory of Numbers 6th edn. Oxford University Press, Oxford (2008)","edition":"6"},{"key":"9602_CR16","volume-title":"General Galois Geometries","author":"J.W.P. Hirschfeld","year":"1991","unstructured":"Hirschfeld J.W.P., Thas J.A.: General Galois Geometries. Oxford University Press, Oxford (1991)"},{"key":"9602_CR17","doi-asserted-by":"crossref","first-page":"1309","DOI":"10.1080\/00927878308822907","volume":"11","author":"A.A. Premet","year":"1983","unstructured":"Premet A.A., Suprunenko I.D.: The Weyl modules and the irreducible representations of the symplectic group with the fundamental highest weights. Commun. Algebr. 11, 1309\u20131342 (1983)","journal-title":"Commun. Algebr."},{"key":"9602_CR18","volume-title":"Building of spherical type and finite BN-pairs","author":"J. Tits","year":"1974","unstructured":"Tits J.: Building of spherical type and finite BN-pairs. Lecture Notes in Mathematics. vol. 386. Springer, Berlin (1974)"}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-011-9602-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-011-9602-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-011-9602-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,17]],"date-time":"2024-04-17T06:13:33Z","timestamp":1713334413000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-011-9602-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1,7]]},"references-count":18,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2013,7]]}},"alternative-id":["9602"],"URL":"https:\/\/doi.org\/10.1007\/s10623-011-9602-1","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1,7]]}}}