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Packet E: Bonus 2

An algebra over a field consists of a “space” named for these objects that has a bilinear product. For 10 points each:
[10e] Name these objects have a magnitude and direction.
ANSWER: vectors [accept vector spaces]
[10m] This mathematician names a non-associative algebra that pairs a vector space with his namesake commutator bracket denoted “x y minus y x.” This mathematician names groups that are also differentiable manifolds.
ANSWER: Sophus Lie (“lee”) [or Marius Sophus Lie; accept Lie groups; accept Lie bracket; accept Lie algebra]
[10h] This adjective is prefixed by “semi” to describe Lie algebras that have a non-degenerate Killing form. Lie algebras described by this adjective are non-abelian (“non-uh-BEE-lee-un”) and contain no non-zero proper ideals.
ANSWER: simple [accept simple Lie algebras; accept semisimple Lie algebras]
<Toronto B, Other Science> | Packet E - Chicago A, Toronto B, Brandeis B, JHU A

HeardPPBE %M %H %
7314.9399%40%11%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Central Florida AFlorida A100010E
Central Florida CFlorida B1010020EM
Florida CCentral Florida B100010E

Summary

TournamentEditionMatchHeardPPBE %M %H %
California (North)Main Site✓326.67100%100%67%
California (South)Main Site✓417.50100%75%0%
CanadaMain Site✓120.00100%100%0%
FloridaMain Site✓313.33100%33%0%
Great LakesMain Site✓514.00100%40%0%
Lower Mid-AtlanticMain Site✓812.50100%25%0%
MidwestMain Site✓815.00100%38%13%
NortheastMain Site✓516.00100%40%20%
OverflowMain Site✓310.00100%0%0%
South CentralMain Site✓210.00100%0%0%
SoutheastMain Site✓714.29100%29%14%
UKMain Site✓1215.8392%50%17%
Upper Mid-AtlanticMain Site✓813.75100%38%0%
Upstate NYMain Site✓415.00100%25%25%