LEADER 03585nam 2200589 450 001 9910788749003321 005 20180613001306.0 010 $a1-4704-0428-1 035 $a(CKB)3360000000465011 035 $a(EBL)3114230 035 $a(SSID)ssj0000973507 035 $a(PQKBManifestationID)11553183 035 $a(PQKBTitleCode)TC0000973507 035 $a(PQKBWorkID)10960964 035 $a(PQKB)10736920 035 $a(MiAaPQ)EBC3114230 035 $a(RPAM)13836979 035 $a(PPN)195417151 035 $a(EXLCZ)993360000000465011 100 $a20050110h20052005 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFermionic expressions for minimal model Virasoro characters /$fTrevor A. Welsh 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2005] 210 4$dİ2005 215 $a1 online resource (176 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 827 300 $a"Volume 175, number 827 (third of 4 numbers)." 311 $a0-8218-3656-0 320 $aIncludes bibliographical references (pages 159-160). 327 $a""Contents""; ""1. Prologue""; ""1.1. Introduction""; ""1.2. Structure of this paper""; ""1.3. Continued fractions""; ""1.4. Fermionic character expressions""; ""1.5. The Takahashi and string lengths""; ""1.6. Takahashi trees""; ""1.7. Takahashi tree vectors""; ""1.8. Truncated Takahashi tree""; ""1.9. The linear term""; ""1.10. The constant term""; ""1.11. The quadratic term""; ""1.12. The mn-system and the parity vector""; ""1.13. The extra term""; ""1.14. Finitized fermionic expressions""; ""1.15. Fermionic-like expressions""; ""2. Path combinatorics""; ""2.1. Outline of proof"" 327 $a""2.2. The band structure""""2.3. Weighting function""; ""2.4. Winged generating functions""; ""2.5. Striking sequence of a path""; ""2.6. Path parameters""; ""2.7. Scoring generating functions""; ""2.8. A seed""; ""2.9. Partitions""; ""3. The B-transform""; ""3.1. Path-dilation: the B[sub(1)]-transform""; ""3.2. Particle insertion: the B[sub(2)]-transform""; ""3.3. Particle moves""; ""3.4. The B[sub(3)]-transform""; ""3.5. Particle content of a path""; ""4. The D-transform""; ""4.1. The pure D-transform""; ""4.2. The BD-pair""; ""5. Mazy runs""; ""5.1. The passing sequence"" 327 $a""5.2. The passing function""""5.3. Transforming the passing function""; ""5.4. Mazy runs in the original weighting""; ""6. Extending and truncating paths""; ""6.1. Extending paths""; ""6.2. Truncating paths""; ""7. Generating the fermionic expressions""; ""7.1. Runs and the core result""; ""7.2. Induction parameters""; ""7.3. The induction""; ""7.4. Transferring to the original weighting""; ""7.5. The other direction""; ""7.6. The mn-system""; ""8. Collating the runs""; ""8.1. Pulling the drawstrings""; ""8.2. Constraints of the Takahashi tree""; ""8.3. Gathering in the Takahashi tree"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 827. 606 $aCombinatorial enumeration problems 606 $aLie algebras 615 0$aCombinatorial enumeration problems. 615 0$aLie algebras. 676 $a510 s 676 $a511/.62 686 $a31.30$2bcl 700 $aWelsh$b Trevor A$g(Trevor Alan),$f1963-$01521046 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788749003321 996 $aFermionic expressions for minimal model Virasoro characters$93759915 997 $aUNINA